{"id":301844,"date":"2024-01-02T16:27:49","date_gmt":"2024-01-02T09:27:49","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=301844"},"modified":"2025-10-18T19:21:32","modified_gmt":"2025-10-18T12:21:32","slug":"cach-tinh-dien-tich-tam-giac-deu","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-deu\/","title":{"rendered":"C\u00e1ch T\u00ednh Di\u1ec7n T\u00edch Tam Gi\u00e1c \u0110\u1ec1u: T\u1ea5t C\u1ea3 C\u00e1c C\u00f4ng Th\u1ee9c, V\u00ed D\u1ee5 &#038; \u1ee8ng D\u1ee5ng"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">T\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u l\u00e0 m\u1ed9t d\u1ea1ng to\u00e1n quen thu\u1ed9c v\u00e0 th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc c\u00e1c c\u1ea5p. Trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y, Ho\u00e0ng H\u00e0 Mobile s\u1ebd h\u01b0\u1edbng d\u1eabn b\u1ea1n c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u v\u1edbi c\u00e1c c\u00f4ng th\u1ee9c chu\u1ea9n nh\u1ea5t. M\u1eddi b\u1ea1n c\u00f9ng tham kh\u1ea3o!<\/span><\/p>\n<h2>Tam gi\u00e1c \u0111\u1ec1u l\u00e0 g\u00ec? T\u00ednh ch\u1ea5t v\u00e0 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft<\/h2>\n<p>Tr\u01b0\u1edbc khi \u0111i v\u00e0o c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u, h\u00e3y c\u00f9ng \u0111i\u1ec3m l\u1ea1i c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 t\u00ednh ch\u1ea5t quan tr\u1ecdng c\u1ee7a n\u00f3.<picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-301849 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<p><strong>\u0110\u1ecbnh ngh\u0129a:<\/strong>\u00a0Tam gi\u00e1c \u0111\u1ec1u l\u00e0 tam gi\u00e1c c\u00f3 ba c\u1ea1nh b\u1eb1ng nhau.<\/p>\n<p><strong>T\u00ednh ch\u1ea5t:<\/strong><\/p>\n<ul>\n<li>Ba g\u00f3c trong c\u1ee7a tam gi\u00e1c \u0111\u1ec1u b\u1eb1ng nhau v\u00e0 m\u1ed7i g\u00f3c \u0111\u1ec1u b\u1eb1ng 60\u00b0.<\/li>\n<li>Trong tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng trung tuy\u1ebfn, \u0111\u01b0\u1eddng cao, \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c, \u0111\u01b0\u1eddng trung tr\u1ef1c \u1ee9ng v\u1edbi m\u1ed9t c\u1ea1nh b\u1ea5t k\u1ef3 \u0111\u1ec1u tr\u00f9ng nhau.<\/li>\n<li>T\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n n\u1ed9i ti\u1ebfp v\u00e0 ngo\u1ea1i ti\u1ebfp tam gi\u00e1c \u0111\u1ec1u tr\u00f9ng nhau v\u00e0 \u0111\u00f3 c\u0169ng l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c.<\/li>\n<\/ul>\n<p><strong>D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft:<\/strong><\/p>\n<ul>\n<li>Tam gi\u00e1c c\u00f3 3 c\u1ea1nh b\u1eb1ng nhau.<\/li>\n<li>Tam gi\u00e1c c\u00f3 3 g\u00f3c b\u1eb1ng nhau.<\/li>\n<li>Tam gi\u00e1c c\u00e2n c\u00f3 m\u1ed9t g\u00f3c b\u1eb1ng 60\u00b0.<\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-301850 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh nhanh theo \u0111\u1ed9 d\u00e0i c\u1ea1nh (Ph\u1ed5 bi\u1ebfn nh\u1ea5t)<\/h2>\n<p>\u0110\u00e2y l\u00e0 c\u00f4ng th\u1ee9c hi\u1ec7u qu\u1ea3 v\u00e0 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng nhi\u1ec1u nh\u1ea5t khi b\u1ea1n \u0111\u00e3 bi\u1ebft \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u1ee7a tam gi\u00e1c \u0111\u1ec1u.<\/p>\n<p><strong>S = (a\u00b2\u221a3)\/4<\/strong><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<ul>\n<li><strong>S<\/strong>\u00a0l\u00e0 di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u.<\/li>\n<li><strong>a<\/strong>\u00a0l\u00e0 \u0111\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh c\u1ee7a tam gi\u00e1c \u0111\u1ec1u.<\/li>\n<\/ul>\n<p><em>V\u00ed d\u1ee5: Cho tam gi\u00e1c \u0111\u1ec1u ABC c\u00f3 c\u1ea1nh d\u00e0i 6cm. T\u00ednh di\u1ec7n t\u00edch.<\/em><\/p>\n<p><em>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c, ta c\u00f3: S = (6\u00b2\u221a3)\/4 = (36\u221a3)\/4 = 9\u221a3 (cm\u00b2).<\/em><\/p>\n<h2>C\u00f4ng th\u1ee9c n\u00e0y t\u1eeb \u0111\u00e2u m\u00e0 c\u00f3? (Ch\u1ee9ng minh c\u00f4ng th\u1ee9c)<\/h2>\n<p>C\u00f4ng th\u1ee9c t\u00ednh nhanh \u1edf tr\u00ean \u0111\u01b0\u1ee3c suy ra t\u1eeb \u0111\u1ecbnh l\u00fd Pytago. Vi\u1ec7c hi\u1ec3u r\u00f5 b\u1ea3n ch\u1ea5t s\u1ebd gi\u00fap b\u1ea1n nh\u1edb c\u00f4ng th\u1ee9c l\u00e2u h\u01a1n.<\/p>\n<p>X\u00e9t tam gi\u00e1c \u0111\u1ec1u ABC c\u00f3 c\u1ea1nh l\u00e0\u00a0<strong>a<\/strong>. K\u1ebb \u0111\u01b0\u1eddng cao AH t\u1eeb \u0111\u1ec9nh A xu\u1ed1ng c\u1ea1nh BC. V\u00ec trong tam gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1eddng cao c\u0169ng l\u00e0 \u0111\u01b0\u1eddng trung tuy\u1ebfn n\u00ean H l\u00e0 trung \u0111i\u1ec3m c\u1ee7a BC.<br \/>\n=&gt; BH = HC = a\/2.<\/p>\n<p>X\u00e9t tam gi\u00e1c vu\u00f4ng AHB, \u00e1p d\u1ee5ng \u0111\u1ecbnh l\u00fd Pytago:<\/p>\n<p>AH\u00b2 + BH\u00b2 = AB\u00b2<\/p>\n<p>=&gt; AH\u00b2 = AB\u00b2 &#8211; BH\u00b2 = a\u00b2 &#8211; (a\/2)\u00b2 = a\u00b2 &#8211; a\u00b2\/4 = 3a\u00b2\/4<\/p>\n<p>=&gt; AH = \u221a(3a\u00b2\/4) = (a\u221a3)\/2\u00a0<em>(\u0110\u00e2y c\u0169ng ch\u00ednh l\u00e0 c\u00f4ng th\u1ee9c t\u00ednh chi\u1ec1u cao tam gi\u00e1c \u0111\u1ec1u!)<\/em><\/p>\n<p>Di\u1ec7n t\u00edch tam gi\u00e1c ABC \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n: S = \u00bd \u00d7 \u0111\u00e1y \u00d7 chi\u1ec1u cao<\/p>\n<p>=&gt; S = \u00bd \u00d7 BC \u00d7 AH = \u00bd \u00d7 a \u00d7 (a\u221a3)\/2 =\u00a0<strong>(a\u00b2\u221a3)\/4<\/strong>\u00a0(\u0110i\u1ec1u ph\u1ea3i ch\u1ee9ng minh).<\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-301847 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c Heron (khi bi\u1ebft 3 c\u1ea1nh)<\/h2>\n<p>C\u00f4ng th\u1ee9c Heron c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho m\u1ecdi tam gi\u00e1c khi bi\u1ebft \u0111\u1ed9 d\u00e0i 3 c\u1ea1nh. V\u1edbi tam gi\u00e1c \u0111\u1ec1u c\u1ea1nh a, chu vi l\u00e0 3a, n\u1eeda chu vi p = 3a\/2.<\/p>\n<p>S = \u221a[p(p-a)(p-b)(p-c)] = \u221a[(3a\/2)(3a\/2-a)(3a\/2-a)(3a\/2-<wbr \/>a)] = \u221a[(3a\/2)(a\/2)\u00b3] = \u221a[3a\u2074\/16] =\u00a0<strong>(a\u00b2\u221a3)\/4<\/strong>.<picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301852 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>S\u1eed d\u1ee5ng l\u01b0\u1ee3ng gi\u00e1c (c\u00f4ng th\u1ee9c sin)<\/h2>\n<p>Di\u1ec7n t\u00edch tam gi\u00e1c b\u1eb1ng 1\/2 t\u00edch hai c\u1ea1nh k\u1ec1 nh\u00e2n v\u1edbi sin c\u1ee7a g\u00f3c xen gi\u1eefa. V\u1edbi tam gi\u00e1c \u0111\u1ec1u, hai c\u1ea1nh b\u1ea5t k\u1ef3 \u0111\u1ec1u l\u00e0 a v\u00e0 g\u00f3c xen gi\u1eefa l\u00e0 60\u00b0.<\/p>\n<p>S = \u00bd \u00d7 a \u00d7 a \u00d7 sin(60\u00b0) = \u00bd \u00d7 a\u00b2 \u00d7 (\u221a3\/2) =\u00a0<strong>(a\u00b2\u221a3)\/4<\/strong>.<\/p>\n<h2><span style=\"font-weight: 400;\">M\u1ed9t s\u1ed1 l\u01b0u \u00fd c\u1ea7n bi\u1ebft \u0111\u1ec3 gi\u1ea3i nhanh c\u00e1c b\u00e0i to\u00e1n t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 gi\u1ea3i t\u1ed1t c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn di\u1ec7n t\u00edch tam gi\u00e1c, b\u1ea1n c\u1ea7n n\u1eafm r\u00f5 m\u1ed9t s\u1ed1 l\u01b0u \u00fd sau:<\/span><\/p>\n<h3><span style=\"font-weight: 400;\">Hi\u1ec3u r\u00f5 t\u00ednh ch\u1ea5t c\u1ee7a t\u1eebng lo\u1ea1i tam gi\u00e1c<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Vi\u1ec7c hi\u1ec3u r\u00f5 t\u00ednh ch\u1ea5t gi\u00fap b\u1ea1n d\u1ec5 d\u00e0ng nh\u1eadn bi\u1ebft \u0111\u00f3 l\u00e0 lo\u1ea1i tam gi\u00e1c n\u00e0o, v\u00e0 n\u00ean \u00e1p d\u1ee5ng c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u hay tam gi\u00e1c vu\u00f4ng\u2026 \u0111\u1ec3 ti\u1ebft ki\u1ec7m th\u1eddi gian v\u00e0 c\u00f4ng s\u1ee9c t\u00ednh to\u00e1n. Ngo\u00e0i ra, \u0111\u00f4i khi \u0111\u1ec1 s\u1ebd kh\u00f4ng cho \u0111\u1ee7 t\u1ea5t c\u1ea3 d\u1eef li\u1ec7u m\u00e0 \u0111\u00f2i h\u1ecfi ng\u01b0\u1eddi gi\u1ea3i ph\u1ea3i bi\u1ebft v\u1eadn d\u1ee5ng \u0111\u00fang c\u00e1ch \u0111\u1ec3 \u0111\u01b0a ra k\u1ebft qu\u1ea3 ch\u00ednh x\u00e1c.<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301857 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-11\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-11-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">K\u1ebft h\u1ee3p v\u1edbi \u0111\u1ecbnh l\u00fd Pitago<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Khi gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n li\u00ean quan \u0111\u1ebfn tam gi\u00e1c vu\u00f4ng, b\u1ea1n th\u01b0\u1eddng ph\u1ea3i k\u1ebft h\u1ee3p v\u1edbi c\u00f4ng th\u1ee9c Pitago \u0111\u1ec3 t\u00ecm nh\u1eefng d\u1eef ki\u1ec7n c\u00f2n thi\u1ebfu. V\u1eady n\u00ean, h\u00e3y xem x\u00e9t \u0111\u1ec1 v\u00e0 t\u1ef1 h\u1ecfi li\u1ec7u \u0111\u1ecbnh l\u00fd n\u00e0y c\u00f3 s\u1eed d\u1ee5ng \u0111\u01b0\u1ee3c hay kh\u00f4ng \u0111\u1ec3 gi\u1ea3i to\u00e1n m\u1ed9t c\u00e1ch nhanh ch\u00f3ng, d\u1ec5 d\u00e0ng nh\u1ea5t nh\u00e9!<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301858 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-12\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-12-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3><span style=\"font-weight: 400;\">Th\u01b0\u1eddng xuy\u00ean luy\u1ec7n \u0111\u1ec1<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u0110\u1ec3 n\u1eafm r\u00f5 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u hay b\u1ea5t k\u1ef3 lo\u1ea1i tam gi\u00e1c n\u00e0o kh\u00e1c, b\u1ea1n \u0111\u1ec1u ph\u1ea3i luy\u1ec7n t\u1eadp \u0111\u1ec1 th\u01b0\u1eddng xuy\u00ean. Qua qu\u00e1 tr\u00ecnh luy\u1ec7n \u0111\u1ec1, b\u1ea1n c\u00f3 th\u1ec3 nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c nh\u1eefng d\u1ea1ng \u0111\u1ec1 th\u01b0\u1eddng g\u1eb7p v\u00e0 r\u00fat ra ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00f9 h\u1ee3p, hi\u1ec7u qu\u1ea3 nh\u1ea5t. D\u00f9 b\u1ea1n c\u00f3 gi\u1ecfi to\u00e1n h\u00ecnh hay kh\u00f4ng, ch\u1ec9 c\u1ea7n b\u1ea1n lu\u00f4n ch\u0103m ch\u1ec9, ch\u1eafc ch\u1eafn r\u1eb1ng b\u1ea1n s\u1ebd gi\u1ea3i \u0111\u01b0\u1ee3c m\u1ecdi d\u1ea1ng to\u00e1n d\u00f9 l\u00e0 n\u00e2ng cao nh\u1ea5t.\u00a0<\/span><\/p>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301859 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-13\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-13-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>\u1ee8ng d\u1ee5ng th\u00fa v\u1ecb c\u1ee7a tam gi\u00e1c \u0111\u1ec1u trong \u0111\u1eddi s\u1ed1ng<\/h2>\n<p>B\u1ea1n c\u00f3 bi\u1ebft h\u00ecnh tam gi\u00e1c \u0111\u1ec1u xu\u1ea5t hi\u1ec7n \u1edf r\u1ea5t nhi\u1ec1u n\u01a1i xung quanh ch\u00fang ta kh\u00f4ng? Nh\u1edd t\u00ednh \u0111\u1ed1i x\u1ee9ng v\u00e0 v\u1eefng ch\u1eafc, n\u00f3 \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i:<picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301856 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-10\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-10-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<ul>\n<li><strong>Ki\u1ebfn tr\u00fac &amp; X\u00e2y d\u1ef1ng:<\/strong>\u00a0C\u00e1c k\u1ebft c\u1ea5u gi\u00e0n, m\u00e1i v\u00f2m, hay c\u00e1c c\u00e2y c\u1ea7u th\u01b0\u1eddng s\u1eed d\u1ee5ng c\u00e1c khung tam gi\u00e1c \u0111\u1ec1u \u0111\u1ec3 ph\u00e2n b\u1ed5 l\u1ef1c \u0111\u1ec1u v\u00e0 t\u1ea1o s\u1ef1 v\u1eefng ch\u00e3i (v\u00ed d\u1ee5: Th\u00e1p Eiffel).<\/li>\n<li><strong>Thi\u00ean nhi\u00ean:<\/strong>\u00a0H\u00ecnh d\u1ea1ng c\u1ee7a c\u00e1c tinh th\u1ec3 tuy\u1ebft, c\u1ea5u tr\u00fac c\u1ee7a m\u1ed9t s\u1ed1 ph\u00e2n t\u1eed h\u00f3a h\u1ecdc (nh\u01b0 Graphene) hay c\u00e1ch con ong x\u00e2y t\u1ed5 ong \u0111\u1ec1u mang h\u00ecnh d\u00e1ng l\u1ee5c gi\u00e1c \u0111\u1ec1u, \u0111\u01b0\u1ee3c gh\u00e9p b\u1edfi 6 tam gi\u00e1c \u0111\u1ec1u.<\/li>\n<li><strong>Thi\u1ebft k\u1ebf &amp; Ngh\u1ec7 thu\u1eadt:<\/strong>\u00a0Nhi\u1ec1u logo th\u01b0\u01a1ng hi\u1ec7u, bi\u1ec3n b\u00e1o giao th\u00f4ng (bi\u1ec3n c\u1ea3nh b\u00e1o nguy hi\u1ec3m) hay c\u00e1c h\u1ecda ti\u1ebft trang tr\u00ed s\u1eed d\u1ee5ng h\u00ecnh tam gi\u00e1c \u0111\u1ec1u \u0111\u1ec3 t\u1ea1o c\u1ea3m gi\u00e1c c\u00e2n b\u1eb1ng, m\u1ea1nh m\u1ebd.<\/li>\n<li><strong>\u0110\u1eddi s\u1ed1ng h\u00e0ng ng\u00e0y:<\/strong>\u00a0Kh\u00fac pizza khi \u0111\u01b0\u1ee3c c\u1eaft t\u1eeb t\u00e2m, gi\u00e1 \u0111\u1ee1 s\u00e1ch, hay th\u1eadm ch\u00ed l\u00e0 c\u00e1ch x\u1ebfp nh\u1eefng qu\u1ea3 bi-a trong tr\u00f2 ch\u01a1i pool.<\/li>\n<\/ul>\n<h2>B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng (c\u00f3 l\u1eddi gi\u1ea3i)<\/h2>\n<p><strong>B\u00e0i 1:<\/strong>\u00a0M\u1ed9t bi\u1ec3n b\u00e1o giao th\u00f4ng h\u00ecnh tam gi\u00e1c \u0111\u1ec1u c\u00f3 chu vi l\u00e0 120cm. T\u00ednh di\u1ec7n t\u00edch c\u1ee7a bi\u1ec3n b\u00e1o \u0111\u00f3.<\/p>\n<p><em>L\u1eddi gi\u1ea3i:<\/em><\/p>\n<p>\u0110\u1ed9 d\u00e0i m\u1ed9t c\u1ea1nh c\u1ee7a bi\u1ec3n b\u00e1o l\u00e0: a = 120 \/ 3 = 40 (cm).<\/p>\n<p>Di\u1ec7n t\u00edch c\u1ee7a bi\u1ec3n b\u00e1o l\u00e0: S = (40\u00b2\u221a3)\/4 = (1600\u221a3)\/4 = 400\u221a3 (cm\u00b2).<picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-301854 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8.jpg\" alt=\"cach-tinh-dien-tich-tam-giac-deu-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/cach-tinh-dien-tich-tam-giac-deu-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/h2>\n<p><strong>1. L\u00e0m th\u1ebf n\u00e0o \u0111\u1ec3 t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u n\u1ebfu ch\u1ec9 bi\u1ebft chi\u1ec1u cao h?<\/strong><\/p>\n<p>T\u1eeb c\u00f4ng th\u1ee9c h = (a\u221a3)\/2, ta suy ra a = (2h)\/\u221a3. Thay v\u00e0o c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch, ta c\u00f3: S = h\u00b2\u221a3\/3.<\/p>\n<p><strong>2. Tam gi\u00e1c \u0111\u1ec1u c\u00f3 ph\u1ea3i l\u00e0 tam gi\u00e1c c\u00e2n kh\u00f4ng?<\/strong><\/p>\n<p>C\u00f3. Tam gi\u00e1c \u0111\u1ec1u l\u00e0 m\u1ed9t tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t c\u1ee7a tam gi\u00e1c c\u00e2n, c\u00f3 c\u1ea3 3 c\u1ea1nh b\u1eb1ng nhau thay v\u00ec ch\u1ec9 2 c\u1ea1nh.<\/p>\n<p><span style=\"font-weight: 400;\">B\u00ean tr\u00ean l\u00e0 c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u v\u00e0 m\u1ed9t s\u1ed1 lo\u1ea1i tam gi\u00e1c kh\u00e1c m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o. Hy v\u1ecdng b\u00e0i vi\u1ebft s\u1ebd h\u1eefu \u00edch v\u00e0 \u0111\u1eebng qu\u00ean chia s\u1ebb \u0111\u1ec3 m\u1ecdi ng\u01b0\u1eddi c\u00f9ng \u0111\u00f3n \u0111\u1ecdc nh\u00e9!<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Xem th\u00eam:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-hop-chu-nhat\/\">T\u1ea5t c\u1ea3 \u0111i\u1ec1u b\u1ea1n c\u1ea7n bi\u1ebft v\u1ec1 di\u1ec7n t\u00edch b\u1ec1 m\u1eb7t h\u00ecnh h\u1ed9p ch\u1eef nh\u1eadt<\/a><\/strong><\/li>\n<li style=\"font-weight: 400;\"><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cach-tinh-dien-tich-tam-giac-vuong\/\">C\u00f4ng th\u1ee9c c\u00e1ch t\u00ednh di\u1ec7n t\u00edch v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c vu\u00f4ng<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>T\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u l\u00e0 m\u1ed9t d\u1ea1ng to\u00e1n quen thu\u1ed9c v\u00e0 th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc c\u00e1c c\u1ea5p. Trong b\u00e0i vi\u1ebft d\u01b0\u1edbi \u0111\u00e2y, Ho\u00e0ng H\u00e0 Mobile s\u1ebd h\u01b0\u1edbng d\u1eabn b\u1ea1n c\u00e1ch t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u v\u00e0 \u0111\u01b0\u1eddng cao tam gi\u00e1c \u0111\u1ec1u v\u1edbi c\u00e1c c\u00f4ng th\u1ee9c chu\u1ea9n nh\u1ea5t. M\u1eddi [&hellip;]<\/p>\n","protected":false},"author":97,"featured_media":301846,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-301844","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>5 C\u00e1ch T\u00ednh Di\u1ec7n T\u00edch Tam Gi\u00e1c \u0110\u1ec1u - C\u00f4ng Th\u1ee9c &amp; V\u00ed D\u1ee5 Chi Ti\u1ebft<\/title>\n<meta name=\"description\" content=\"T\u1ed5ng h\u1ee3p \u0111\u1ea7y \u0111\u1ee7 c\u00e1c c\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch tam gi\u00e1c \u0111\u1ec1u nhanh &amp; ch\u00ednh x\u00e1c: theo c\u1ea1nh, chi\u1ec1u cao, l\u01b0\u1ee3ng gi\u00e1c,... 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