{"id":10890,"date":"2024-05-23T17:56:00","date_gmt":"2024-05-23T12:26:00","guid":{"rendered":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/6-%e0%a4%95%e0%a5%8d%e0%a4%af%e0%a5%8b%e0%a4%82-%e0%a4%9a%e0%a4%a4%e0%a5%81%e0%a4%b7%e0%a5%8d%e0%a4%ab%e0%a4%b2%e0%a4%95%e0%a5%80%e0%a4%af-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af\/"},"modified":"2026-05-24T16:38:46","modified_gmt":"2026-05-24T11:08:46","slug":"6-%e0%a4%95%e0%a5%8d%e0%a4%af%e0%a5%8b%e0%a4%82-%e0%a4%9a%e0%a4%a4%e0%a5%81%e0%a4%b7%e0%a5%8d%e0%a4%ab%e0%a4%b2%e0%a4%95%e0%a5%80%e0%a4%af-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af","status":"publish","type":"post","link":"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/hi\/6-%e0%a4%95%e0%a5%8d%e0%a4%af%e0%a5%8b%e0%a4%82-%e0%a4%9a%e0%a4%a4%e0%a5%81%e0%a4%b7%e0%a5%8d%e0%a4%ab%e0%a4%b2%e0%a4%95%e0%a5%80%e0%a4%af-%e0%a4%b8%e0%a4%82%e0%a4%96%e0%a5%8d%e0%a4%af\/","title":{"rendered":"6 \u0915\u094d\u092f\u094b\u0902? \u091a\u0924\u0941\u0937\u094d\u200d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u091a\u0924\u0941\u0937\u094d\u200d\u092b\u0932\u0915 \u0938\u0947 \u091c\u094b\u0921\u093c\u0928\u093e"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e (Triangular numbers) \u0928\u093e\u092e \u0907\u0938\u0932\u093f\u090f \u092a\u0921\u093c\u093e, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u0915\u094b \u090f\u0915 \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 <em>\u0906\u0915\u093e\u0930<\/em> \u092e\u0947\u0902 \u091c\u092e\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f \u091a\u093f\u0924\u094d\u0930-1 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"813\" height=\"313\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Triangular-numbers.jpg\" alt=\"Triangular numbers\" class=\"wp-image-15717\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Triangular-numbers.jpg 813w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Triangular-numbers-640x246.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Triangular-numbers-360x139.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Triangular-numbers-768x296.jpg 768w\" sizes=\"auto, (max-width: 813px) 100vw, 813px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-1 : \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u0908 \u0917\u0908 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 <\/figcaption><\/figure>\n\n<p class=\"wp-block-paragraph\">\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 1, 3, 6, 10, 15, 21,&#8230; \u092a\u0939\u0932\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 1, \u0926\u0942\u0938\u0930\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0939\u092e \u0907\u0938\u092e\u0947\u0902 2 \u0914\u0930 \u0935\u0943\u0924\u094d\u0924 \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902, \u0924\u0940\u0938\u0930\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0939\u092e 3 \u0914\u0930 \u0935\u0943\u0924\u094d\u0924 \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902, \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f\u0924\u092f\u093e \u091a\u0930\u0923 \u0915\u094d\u0930\u092e\u093e\u0902\u0915 \\(n\\) \u092a\u0930 \u0939\u092e \\(n\\) \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 \u091c\u094b\u0921\u093c\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0924\u0930\u0939 \u0939\u092e \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092a\u0930 \u0905\u0917\u0930 \u0939\u092e\u0947\u0902 \u0926\u0938\u0935\u0940\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0924\u093e \u0915\u0930\u0928\u0940 \u0939\u0948 \u0924\u094b \u0939\u092e\u0947\u0902 \u0928\u094c\u0935\u0940\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u200d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0939\u094b\u0928\u093e \u091c\u093c\u0930\u0942\u0930\u0940 \u0939\u0948\u0964 \u092a\u093f\u091b\u0932\u0940 \u0938\u0902\u0916\u094d\u200d\u092f\u093e \u091c\u093e\u0928\u0947 \u092c\u093f\u0928\u093e n \u0935\u0940\u0902 (nth) \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930 \u0915\u0940 \u091c\u093c\u0930\u0942\u0930\u0924 \u0939\u0948\u0964 \\(n\\) \u0935\u0940\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930 \\(T_n = n (n+1)\/2\\) \u0939\u0948\u0964 (\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \\(T_9 =9(10)\/2 = 45\\))\u0964 \\(n\\) \u0914\u0930 \\(n + 1\\) \u092d\u0941\u091c\u093e\u0913\u0902 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0907\u0938 \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u090f\u0915 \u0905\u091a\u094d\u091b\u093e \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0928\u093f\u0930\u0942\u092a\u0923 \u0939\u0948\u0964 \u091a\u093f\u0924\u094d\u0930-2 \u0926\u0947\u0916\u0947\u0902\u0964 \u091a\u0942\u0901\u0915\u093f \\(n (n+1)\/2 = (n^2+n)\/2\\) \u0939\u0948, \\(n\\) \u0935\u0940\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \\(n\\) \u0914\u0930 \\(n^2\\) \u0915\u0940 \u0914\u0938\u0924 \u092d\u0940 \u0939\u0948\u0964<\/p>\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2025\/07\/figure-2-hi.png\" alt=\"&#x91A;&#x93F;&#x924;&#x94D;&#x930;-2\" class=\"wp-image-12817\"\/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-2 : \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u091c\u093f\u0928\u0915\u0940 \u0938\u092e\u0915\u094b\u0923 \u092c\u0928\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u093e\u0917\u0924 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948\u0902 <\/figcaption><\/figure>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"mb-0 wp-block-paragraph\">\u091c\u093f\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0906\u0915\u093e\u0930 \u092e\u0947\u0902 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 <em>\u0930\u0942\u092a<\/em> \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0909\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f (tetrahedral) \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 (tetrahedron) &#8211; \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u0940\u092f \u0906\u0927\u093e\u0930 \u0935\u093e\u0932\u0947 \u092a\u093f\u0930\u093e\u092e\u093f\u0921 &#8211; \u0915\u0947 <em>\u0930\u0942\u092a<\/em> \u092e\u0947\u0902 \u0926\u0947\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f \u091a\u093f\u0924\u094d\u0930-3 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0939\u092e \u0917\u094b\u0932\u094b\u0902 \u0915\u094b \u090f\u0915 \u0915\u0947 \u090a\u092a\u0930 \u090f\u0915 \u0930\u0916\u0915\u0930 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0924\u0939 \u092e\u0947\u0902 \u0917\u094b\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u091a\u093f\u0924\u094d\u0930-3 \u092e\u0947\u0902 \u092a\u0939\u0932\u0940 \u0924\u0940\u0928 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948, 1 + 3 + 6 = 10, \u0924\u0940\u0938\u0930\u0940 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0964<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"459\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Stacked-spheres.png\" alt=\"Stacked spheres\" class=\"wp-image-15723\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Stacked-spheres.png 580w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Stacked-spheres-455x360.png 455w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Stacked-spheres-255x202.png 255w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-3 : \u0924\u0940\u0938\u0930\u0940 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e 10, \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0922\u0947\u0930\u0928\u0941\u092e\u093e \u091c\u092e\u0947 \u0917\u094b\u0932\u0947 <\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0936\u0941\u0930\u0941\u0906\u0924\u0940 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 1, 4, 10, 20, 35, 56,&#8230; \u0939\u0948\u0902\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f \u092e\u0949\u0921\u0932 \u0917\u094b\u0932\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0915\u0939\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0914\u0930 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0938\u092e\u094d\u200d\u092c\u0928\u094d\u200d\u0927 \u0915\u093e \u090f\u0915 \u0905\u091a\u094d\u091b\u093e \u0926\u0943\u0936\u094d\u092f \u0928\u093f\u0930\u0942\u092a\u0923 (visual representation) \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u0939\u092e\u0947\u0902 \\(n\\) \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0924\u093e \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948 \u091c\u092c \u0924\u0915 \u0915\u093f \u0939\u092e\u0947\u0902 \u0907\u0938\u0938\u0947 \u0920\u0940\u0915 \u092a\u0939\u0932\u0947 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u200d\u092f\u093e \u092a\u0924\u093e \u0928 \u0939\u094b\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u0924\u0930\u0939, \\(n\\) \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0939\u092e\u0947\u0902 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u0942\u0924\u094d\u0930 \u091a\u093e\u0939\u093f\u090f\u0964 \\(n\\) \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0924\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092f\u0939 \u0938\u0942\u0924\u094d\u0930 \\(T_n = n (n+1)(n+2)\/6\\) \u0939\u0948\u0964 (\u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \\(T_5 = 5(6)(7)\/6 = 35\\) )\u0964 \u0915\u094d\u092f\u093e \u092f\u0939 \u0905\u091a\u094d\u091b\u093e \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u093e \u0905\u0917\u0930 \u0939\u092e \u0907\u0938 \u0938\u0942\u0924\u094d\u0930 \u0915\u094b <em>\u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915<\/em> \u0915\u093e \u0907\u0938\u094d\u200d\u0924\u0947\u092e\u093e\u0932 \u0915\u0930\u0915\u0947 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0930\u0942\u092a \u0938\u0947 \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930 \u0938\u0915\u0947\u0902?   <\/p>\n\n<p class=\"wp-block-paragraph\">\u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u092c\u0924\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u0942\u0924\u094d\u0930 \u0915\u093e \u0905\u0902\u0936 \u0924\u0940\u0928 \u0915\u094d\u0930\u092e\u093e\u0917\u0924 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 \u0939\u094b\u0924\u093e \u0939\u0948, \u091c\u094b \u0926\u0930\u0905\u0938\u0932 \u090f\u0915 \u0910\u0938\u0947 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0920\u094b\u0938 \u0915\u093e \u0906\u092f\u0924\u0928 (\u0932\u092e\u094d\u200d\u092c\u093e\u0908 \u00d7 \u091a\u094c\u0921\u093c\u093e\u0908 \u00d7 \u090a\u0901\u091a\u093e\u0908) \u092d\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0924\u0940\u0928 \u0915\u094d\u0930\u092e\u093e\u0917\u0924 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u0910\u0938\u0947 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0920\u094b\u0938 \u0915\u0947 \u0906\u092f\u0924\u0928 \u0915\u093e \\(1\/6\\) \u0935\u093e\u0901 \u092d\u093e\u0917 \u0939\u092e\u0947\u0936\u093e \u090f\u0915 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \\(3 \u00d7 4 \u00d7 5\\) \u092d\u0941\u091c\u093e\u0913\u0902 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0920\u094b\u0938 \u0915\u093e \u0906\u092f\u0924\u0928 \\(60\\) \u0939\u094b\u0917\u093e, \u0907\u0938\u0932\u093f\u090f \u0924\u0940\u0938\u0930\u0940 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \\(60\/6 = 10\\) \u0939\u094b\u0917\u0940\u0964 \u091a\u093f\u0924\u094d\u0930-4 \u092e\u0947\u0902 \\(10\\) \u0918\u0928\u094b\u0902 \u0915\u0947 \\(6\\) \u0938\u0947\u091f \u0926\u093f\u0916\u093e\u090f \u0917\u090f \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0947\u091f \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0905\u0932\u0917 \u0930\u0902\u0917 \u0939\u0948\u0964 \u092f\u0947 \\(6\\) \u0938\u0947\u091f \u090f\u0915 \u0938\u093e\u0925 \u092e\u093f\u0932\u0915\u0930 \\(3 \u00d7 4 \u00d7 5\\) \u092d\u0941\u091c\u093e\u0913\u0902 \u0935\u093e\u0932\u093e \u090f\u0915 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0920\u094b\u0938 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u091c\u093c\u0930\u0942\u0930\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 \u0915\u093f \u090f\u0915 \u0938\u0947\u091f \u092e\u0947\u0902 \u0918\u0928 \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0939\u094b\u0902 \u092f\u093e \u092b\u093f\u0930 \u090f\u0915 \u0930\u0902\u0917 \u0915\u0947 \u0918\u0928 \u090f\u0915 \u0938\u093e\u0925 \u0930\u0939\u0947\u0902 (\u0918\u0928 \u0920\u094b\u0938 \u092e\u0947\u0902 \u0915\u0939\u0940\u0902 \u092d\u0940 \u0939\u094b \u0938\u0915\u0924\u0947 \u0939\u0948\u0902), \u0932\u0947\u0915\u093f\u0928 \u092f\u0939 \u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \\(1, 3\\) \u0914\u0930 \\(6\\) \u0915\u094b \u0905\u091a\u094d\u091b\u0940 \u0924\u0930\u0939 \u0938\u0947 \u092a\u094d\u0930\u0915\u091f \u0915\u0930\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0907\u0938\u094d\u200d\u0924\u0947\u092e\u093e\u0932 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \\(10\\) \u0915\u094b \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091a\u093f\u0924\u094d\u0930-5 \u092e\u0947\u0902 \u090f\u0915 \u0935\u0948\u0915\u0932\u094d\u092a\u093f\u0915 \u092e\u0949\u0921\u0932 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948, \u091c\u094b \u0915\u093f \u0905\u091c\u093c\u0940\u092e \u092a\u094d\u0930\u0947\u092e\u091c\u0940 \u0935\u093f\u0936\u094d\u0935\u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u092e\u0948\u0925 \u0938\u094d\u092a\u0947\u0938 \u0915\u0940 \u0938\u094d\u0935\u093e\u0924\u0940 \u0938\u0930\u0915\u093e\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0941\u091d\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964      <\/p>\n\n<figure class=\"wp-block-image size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"464\" height=\"360\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-464x360.png\" alt=\"Each of the\" class=\"wp-image-15728\" style=\"object-fit:cover\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-464x360.png 464w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-260x202.png 260w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the.png 590w\" sizes=\"auto, (max-width: 464px) 100vw, 464px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-4 : 6 \u0938\u092e\u093e\u0928 \u091f\u0941\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 10 \u0918\u0928 \u0939\u0948\u0902 <\/figcaption><\/figure>\n\n<div class=\"wp-block-group is-layout-grid wp-container-core-group-is-layout-0ddedb66 wp-block-group-is-layout-grid\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"720\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-two-sets.jpg\" alt=\"Each of the two sets\" class=\"wp-image-15732\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-two-sets.jpg 1280w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-two-sets-640x360.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-two-sets-360x203.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Each-of-the-two-sets-768x432.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><figcaption class=\"wp-element-caption\">\u091a\u0930\u0923-1 : \u0926\u094b \u0938\u0947\u091f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 6 + 3 + 1 = 10 \u092c\u094d\u0932\u0949\u0915 \u0939\u0948\u0902, \u092f\u093e\u0928\u0940 \u0915\u0941\u0932 20 \u092c\u094d\u0932\u0949\u0915 \u0939\u0948\u0902\u0964 <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1193\" height=\"661\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-bottom-6-blocks.jpg\" alt=\"The bottom 6 blocks\" class=\"wp-image-15735\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-bottom-6-blocks.jpg 1193w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-bottom-6-blocks-640x355.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-bottom-6-blocks-360x199.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-bottom-6-blocks-768x426.jpg 768w\" sizes=\"auto, (max-width: 1193px) 100vw, 1193px\" \/><figcaption class=\"wp-element-caption\">\u091a\u0930\u0923-2 : \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0947\u091f \u092e\u0947\u0902 \u0928\u0940\u091a\u0947 \u0915\u0947 6 \u092c\u094d\u0932\u0949\u0915 \u091c\u0941\u0921\u093c\u0915\u0930 3 \u00d7 4 \u0915\u093e \u0906\u092f\u0924 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902; \u092c\u0940\u091a \u0915\u0947 3 \u091c\u0941\u0921\u093c\u0915\u0930 2 \u00d7 3 \u0915\u093e \u0906\u092f\u0924 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902; \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0947\u091f \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u090a\u092a\u0930 \u0915\u0947 \u092c\u094d\u0932\u0949\u0915 \u091c\u0941\u0921\u093c\u0915\u0930 1 \u00d7 2 \u0915\u093e \u0906\u092f\u0924 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1194\" height=\"667\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Three-identical_11zon.jpg\" alt=\"Three identical\" class=\"wp-image-15738\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Three-identical_11zon.jpg 1194w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Three-identical_11zon-640x358.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Three-identical_11zon-360x202.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Three-identical_11zon-768x429.jpg 768w\" sizes=\"auto, (max-width: 1194px) 100vw, 1194px\" \/><figcaption class=\"wp-element-caption\">\u091a\u0930\u0923-3 : 20 \u092c\u094d\u0932\u0949\u0915\u094b\u0902 \u0915\u0947 \u0924\u0940\u0928 \u0938\u092e\u093e\u0928 \u0938\u0947\u091f\u0964 <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1191\" height=\"667\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Two-sets-are-joined.jpg\" alt=\"Two sets are joined\" class=\"wp-image-15741\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Two-sets-are-joined.jpg 1191w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Two-sets-are-joined-640x358.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Two-sets-are-joined-360x203.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/Two-sets-are-joined-768x430.jpg 768w\" sizes=\"auto, (max-width: 1191px) 100vw, 1191px\" \/><figcaption class=\"wp-element-caption\">\u091a\u0930\u0923-4 : \u0926\u094b \u0938\u0947\u091f \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0939\u0948\u0902\u0964 <\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1194\" height=\"665\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-three-sets.jpg\" alt=\"The three sets\" class=\"wp-image-15746\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-three-sets.jpg 1194w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-three-sets-640x356.jpg 640w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-three-sets-360x202.jpg 360w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-three-sets-768x428.jpg 768w\" sizes=\"auto, (max-width: 1194px) 100vw, 1194px\" \/><figcaption class=\"wp-element-caption\">\u091a\u0930\u0923-5 : \u0924\u0940\u0928\u094b\u0902 \u0938\u0947\u091f \u091c\u0941\u0921\u093c\u0915\u0930 3 \u00d7 4 \u00d7 5 \u0915\u093e \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0920\u094b\u0938 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 <\/figcaption><\/figure>\n<\/div>\n\n<p class=\"has-text-align-center caption-name wp-block-paragraph\">\u091a\u093f\u0924\u094d\u0930-5 : \u0938\u094d\u0935\u093e\u0924\u0940 \u0915\u093e \u092e\u0949\u0921\u0932 <\/p>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939 \u092e\u0949\u0921\u0932 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947 \u0936\u0941\u0930\u0942 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u092e\u0949\u0921\u0932 \u0915\u094b \u0938\u0942\u0924\u094d\u0930 \u092e\u0947\u0902 \u092b\u093f\u091f \u0915\u0930\u0924\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u092f\u0939 \u0935\u093f\u0927\u093f \u0907\u0938 \u0938\u0935\u093e\u0932 \u0915\u093e \u091c\u0935\u093e\u092c \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u0940 \u0939\u0948, \u0915\u093f \u201c6 \u0915\u094d\u092f\u094b\u0902?\u201d<\/p>\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e \u0905\u092a\u0928\u093e \u0927\u094d\u092f\u093e\u0928 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u0947 \u0907\u0938\u094d\u200d\u0924\u0947\u092e\u093e\u0932 \u0938\u0947 \u0907\u0938 \u092a\u0926 \u0915\u094b \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0930\u0942\u092a \u0938\u0947 \u091a\u093f\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0938\u092e\u094d\u200d\u092d\u093e\u0935\u0928\u093e \u092a\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e\u0947\u0902 \u092f\u0939 \u0938\u094d\u092a\u0937\u094d\u091f \u0930\u0939\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0915\u093f \u092f\u0939 \\(n\\) \u0935\u0940\u0902 <em>\u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f<\/em> \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0938\u0942\u0924\u094d\u0930 \u0935\u093f\u0915\u0938\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0915\u094b\u0936\u093f\u0936 \u0928\u0939\u0940\u0902 \u0939\u0948, \u092c\u0932\u094d\u0915\u093f \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u092e\u0947\u0902 \u0938\u0942\u0924\u094d\u0930 \u0915\u094b \u0926\u0947\u0916\u0928\u0947 \u0915\u093e \u090f\u0915 \u0924\u0930\u0940\u0915\u093c\u093e \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0939\u0948, \u0914\u0930 \u0935\u093f\u0936\u0947\u0937 \u0930\u0942\u092a \u0938\u0947 \u0938\u0942\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u0902\u0916\u094d\u092f\u093e \\(6\\) \u0915\u094b \u0927\u094d\u092f\u093e\u0928 \u092e\u0947\u0902 \u0930\u0916\u0928\u093e \u0939\u0948\u0964 \u0939\u092e \u092b\u093f\u0930 \u0938\u0947 \u0926\u0947\u0916\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \\(n\\) \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0939\u0932\u0940 \\(n\\) \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092a\u0939\u0932\u0940 \u092a\u093e\u0901\u091a \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902, \\(1 + 3 + 6 + 10 + 15\\) \u0915\u093e \u092f\u094b\u0917 \\(35\\) \u0939\u0948, \u091c\u094b \u092a\u093e\u0901\u091a\u0935\u0940\u0902 \u091f\u0947\u091f\u094d\u0930\u093e\u0939\u0947\u0921\u094d\u0930\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964   <\/p>\n\n<p class=\"wp-block-paragraph\">\u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u0947 \u0906\u092f\u0924\u0928 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \\(Bh\/3\\) \u0939\u0948, \u091c\u0939\u093e\u0901 \\(B\\) \u0906\u0927\u093e\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948 \u0914\u0930 \\(h \\) \u090a\u0901\u091a\u093e\u0908 \u0939\u0948\u0964 \u0905\u0917\u0930 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u093e \u0906\u0927\u093e\u0930 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u093e\u0915\u093e\u0930 \u0939\u0948, \u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \\(n\\) \u0914\u0930 \\(n+1\\) \u0939\u0948\u0902 \u0924\u094b \u0906\u0927\u093e\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \\(n (n +1)\/2\\) \u0939\u094b\u0917\u093e, \u091c\u094b \u090f\u0915 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u0940 \u090a\u0901\u091a\u093e\u0908 \\(n +2\\) \u0939\u0948, \u0924\u094b \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 \\([(n (n +1)\/2) (n+2)]\/3)\\) \u092f\u093e \\(n (n+1)(n+2)\/6\\) \u0939\u094b\u0917\u093e\u0964<\/p>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"mb-0 wp-block-paragraph\">\u091a\u093f\u0924\u094d\u0930-6 \u0926\u0947\u0916\u0947\u0902\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930, \u091c\u092c n \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0924\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0939\u092e \u0938\u093f\u0930\u094d\u092b\u093c \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u0947 \u0906\u092f\u0924\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0930\u0939\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092a\u093e\u0901\u091a\u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \\(Bh\/3 = [[(5)(6)\/2])7]\/3 = 35\\) \u0939\u0948\u0964  <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0905\u092c \u0939\u092e \u091c\u0935\u093e\u092c \u0926\u0947 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u201c6 \u0915\u094d\u092f\u094b\u0902?\u201d \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u093e\u0915\u093e\u0930 \u0906\u0927\u093e\u0930 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u0947 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947 2 \u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948 \u0914\u0930 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u0947 \u0906\u092f\u0924\u0928 \u0915\u0947 \u0938\u0942\u0924\u094d\u0930 \u0938\u0947 3 \u0935\u093f\u092d\u093e\u091c\u0915 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0932\u093f\u090f \u0935\u093f\u092d\u093e\u091c\u0915 6 \u0939\u0948\u0964 <\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"720\" src=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-volume-of-this-tetrahedron-512x720.png\" alt=\"The volume of this tetrahedron\" class=\"wp-image-13772\" srcset=\"https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-volume-of-this-tetrahedron-512x720.png 512w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-volume-of-this-tetrahedron-256x360.png 256w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-volume-of-this-tetrahedron-144x202.png 144w, https:\/\/atrightangles.azimpremjiuniversity.edu.in\/wp-content\/uploads\/2024\/05\/The-volume-of-this-tetrahedron.png 546w\" sizes=\"auto, (max-width: 512px) 100vw, 512px\" \/><figcaption class=\"wp-element-caption\">\u091a\u093f\u0924\u094d\u0930-6 : \u0907\u0938 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915 \u0915\u093e \u0906\u092f\u0924\u0928 n \u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 <\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n<p class=\"wp-block-paragraph\">\u0939\u092e \u090f\u0915 \u0906\u0916\u093c\u200d\u093f\u0930\u0940 \u0935\u093f\u091a\u093e\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937 \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0924\u0947 \u0939\u0948\u0902\u0964 \u0926\u0941\u0928\u093f\u092f\u093e \u0915\u0947 \u0915\u0941\u091b \u0939\u093f\u0938\u094d\u0938\u094b\u0902 \u092e\u0947\u0902 \u090f\u0915 \u0932\u094b\u0915\u092a\u094d\u0930\u093f\u092f \u0917\u0940\u0924 \u0939\u0948 \u201c\u0915\u094d\u0930\u093f\u0938\u092e\u0938 \u0915\u0947 \u092c\u093e\u0930\u0939 \u0926\u093f\u0928 (The Twelve Days of Christmas)\u201d, \u091c\u093f\u0938\u0915\u0947 \u092a\u0939\u0932\u0947 \u0924\u0940\u0928 \u091b\u0928\u094d\u200d\u0926 \u0939\u0948\u0902 : <\/p>\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"wp-block-paragraph\">\u0915\u094d\u0930\u093f\u0938\u092e\u0938 \u0915\u0947 \u092a\u0939\u0932\u0947 \u0926\u093f\u0928<br\/>\u092e\u0947\u0930\u0947 \u0938\u091a\u094d\u091a\u0947 \u092a\u094d\u092f\u093e\u0930 \u0928\u0947 \u092e\u0941\u091d\u0947 \u0926\u093f\u092f\u093e<br\/>\u0928\u093e\u0936\u092a\u093e\u0924\u0940 \u0915\u0947 \u090f\u0915 \u092a\u0947\u0921\u093c \u092e\u0947\u0902 \u090f\u0915 \u0924\u0940\u0924\u0930\u0964<\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\">\u0915\u094d\u0930\u093f\u0938\u092e\u0938 \u0915\u0947 \u0926\u0942\u0938\u0930\u0947 \u0926\u093f\u0928<br\/>\u092e\u0947\u0930\u0947 \u0938\u091a\u094d\u091a\u0947 \u092a\u094d\u092f\u093e\u0930 \u0928\u0947 \u092e\u0941\u091d\u0947 \u0926\u093f\u090f<br\/>\u0926\u094b \u091c\u0902\u0917\u0932\u0940 \u0915\u092c\u0942\u0924\u0930,<br\/>\u0914\u0930 \u0928\u093e\u0936\u092a\u093e\u0924\u0940 \u0915\u0947 \u090f\u0915 \u092a\u0947\u0921\u093c \u092e\u0947\u0902 \u090f\u0915 \u0924\u0940\u0924\u0930\u0964<\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\">\u0915\u094d\u0930\u093f\u0938\u092e\u0938 \u0915\u0947 \u0924\u0940\u0938\u0930\u0947 \u0926\u093f\u0928<br\/>\u092e\u0947\u0930\u0947 \u0938\u091a\u094d\u091a\u0947 \u092a\u094d\u092f\u093e\u0930 \u0928\u0947 \u092e\u0941\u091d\u0947 \u0926\u093f\u090f<br\/>\u0924\u0940\u0928 \u092b\u094d\u0930\u093e\u0902\u0938\u0940\u0938\u0940 \u092e\u0941\u0930\u094d\u0917\u093f\u092f\u093e\u0901,<br\/>\u0926\u094b \u091c\u0902\u0917\u0932\u0940 \u0915\u092c\u0942\u0924\u0930<br\/>\u0914\u0930 \u0928\u093e\u0936\u092a\u093e\u0924\u0940 \u0915\u0947 \u090f\u0915 \u092a\u0947\u0921\u093c \u092e\u0947\u0902 \u090f\u0915 \u0924\u0940\u0924\u0930\u0964<\/p>\n<\/div><\/div>\n\n<p class=\"wp-block-paragraph\">\u092f\u0939 \u0915\u094d\u0930\u092e \u0915\u0941\u0932 12 \u0926\u093f\u0928\u094b\u0902 \u0924\u0915 \u091c\u093e\u0930\u0940 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u0939\u0930 \u0926\u093f\u0928 \u092e\u093f\u0932\u0947 \u0909\u092a\u0939\u093e\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u090f\u0915 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964 \u0907\u0938 \u0924\u0930\u0939 \u0909\u092a\u0939\u093e\u0930\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u092c\u093e\u0930\u0939\u0935\u0940\u0902 \u091a\u0924\u0941\u0937\u094d\u092b\u0932\u0915\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u091c\u094b \u092a\u0939\u0932\u0940 12 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948, \u092f\u093e\u0928\u0940 \\(364\\)\u0964 \u092f\u0947 \u0917\u0940\u0924 \u0914\u0930 \u0917\u0940\u0924 \u0915\u0947 \u092c\u094b\u0932 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0915\u0939\u0940\u0902 \u092d\u0940 \u092e\u093f\u0932 \u091c\u093e\u090f\u0901\u0917\u0947, \u0914\u0930 \u092f\u0947 \u0938\u092e\u0938\u094d\u092f\u093e \u0938\u0947 \u092c\u0916\u093c\u0942\u092c\u0940 \u092a\u0930\u093f\u091a\u092f \u0915\u0930\u0935\u093e\u0924\u0947 \u0939\u0948\u0902\u0964  <\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e (Triangular numbers) \u0928\u093e\u092e \u0907\u0938\u0932\u093f\u090f \u092a\u0921\u093c\u093e, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0915\u093f\u0938\u0940 \u092d\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u0915\u094b \u090f\u0915 \u0938\u092e\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0906\u0915\u093e\u0930 \u092e\u0947\u0902 \u091c\u092e\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u0948\u0938\u093e \u0915\u093f \u091a\u093f\u0924\u094d\u0930-1 \u092e\u0947\u0902 \u0926\u093f\u0916\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 1, 3, 6, 10, 15, 21,&#8230; \u092a\u0939\u0932\u0940 \u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 1, \u0926\u0942\u0938\u0930\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0939\u092e \u0907\u0938\u092e\u0947\u0902 2 \u0914\u0930 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