{"id":299475,"date":"2024-01-02T15:52:37","date_gmt":"2024-01-02T08:52:37","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=299475"},"modified":"2026-11-05T14:11:42","modified_gmt":"2026-11-05T07:11:42","slug":"dien-tich-hinh-binh-hanh","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-binh-hanh\/","title":{"rendered":"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh: c\u00f4ng th\u1ee9c, c\u00e1c d\u1ea1ng b\u00e0i v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i"},"content":{"rendered":"<p><strong>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng: S = a \u00d7 h.<\/strong> V\u00ed d\u1ee5 h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 \u0111\u00e1y 7 cm, chi\u1ec1u cao 9 cm th\u00ec S = 7 \u00d7 9 = 63 cm\u00b2. Khi kh\u00f4ng c\u00f3 chi\u1ec1u cao, c\u00f3 th\u1ec3 d\u00f9ng hai c\u1ea1nh k\u1ec1 v\u00e0 g\u00f3c xen gi\u1eefa (S = a\u00b7b\u00b7sin \u03b1) ho\u1eb7c hai \u0111\u01b0\u1eddng ch\u00e9o v\u00e0 g\u00f3c gi\u1eefa ch\u00fang (S = \u00bd\u00b7d\u2081\u00b7d\u2082\u00b7sin \u03c6). B\u00e0i vi\u1ebft tr\u00ecnh b\u00e0y \u0111\u1ee7 c\u00e1c c\u00f4ng th\u1ee9c, c\u00e1ch t\u00ecm \u0111\u00e1y v\u00e0 chi\u1ec1u cao, k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.<\/p>\n<p><strong>T\u00f3m t\u1eaft nhanh:<\/strong><\/p>\n<ul>\n<li><strong>C\u00f4ng th\u1ee9c ch\u00ednh:<\/strong> S = a \u00d7 h (\u0111\u00e1y nh\u00e2n chi\u1ec1u cao \u1ee9ng v\u1edbi \u0111\u00e1y \u0111\u00f3).<\/li>\n<li><strong>T\u00ecm ng\u01b0\u1ee3c:<\/strong> a = S : h; h = S : a.<\/li>\n<li><strong>Bi\u1ebft hai c\u1ea1nh v\u00e0 g\u00f3c:<\/strong> S = a \u00d7 b \u00d7 sin \u03b1 (kh\u00f4ng c\u00f3 h\u1ec7 s\u1ed1 \u00bd).<\/li>\n<li><strong>Bi\u1ebft hai \u0111\u01b0\u1eddng ch\u00e9o:<\/strong> S = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u00d7 sin \u03c6, v\u1edbi \u03c6 l\u00e0 g\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng ch\u00e9o.<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-299480\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-4.jpg\" alt=\"C\u00f4ng th\u1ee9c di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh S = a.h\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>H\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 g\u00ec?<\/h2>\n<p>H\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 t\u1ee9 gi\u00e1c c\u00f3 c\u00e1c c\u1ea1nh \u0111\u1ed1i song song. T\u1eeb \u0111\u00f3 suy ra:<\/p>\n<ul>\n<li>C\u00e1c c\u1ea1nh \u0111\u1ed1i b\u1eb1ng nhau.<\/li>\n<li>C\u00e1c g\u00f3c \u0111\u1ed1i b\u1eb1ng nhau; hai g\u00f3c k\u1ec1 m\u1ed9t c\u1ea1nh c\u00f3 t\u1ed5ng 180\u00b0.<\/li>\n<li>Hai \u0111\u01b0\u1eddng ch\u00e9o c\u1eaft nhau t\u1ea1i trung \u0111i\u1ec3m m\u1ed7i \u0111\u01b0\u1eddng.<\/li>\n<\/ul>\n<p>H\u00ecnh ch\u1eef nh\u1eadt, h\u00ecnh thoi v\u00e0 h\u00ecnh vu\u00f4ng \u0111\u1ec1u l\u00e0 c\u00e1c tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh. D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft chi ti\u1ebft c\u00f3 trong b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/hinh-binh-hanh-la-gi\/\">h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 g\u00ec<\/a>.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-299478\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-2.jpg\" alt=\"H\u00ecnh b\u00ecnh h\u00e0nh ABCD c\u00f3 c\u00e1c c\u1ea1nh \u0111\u1ed1i song song\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\n<img decoding=\"async\" class=\"aligncenter size-full wp-image-299485\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-9.jpg\" alt=\"C\u00e1c d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh b\u00ecnh h\u00e0nh\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-9.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-9-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-9-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh<\/h2>\n<p style=\"text-align: center;\"><strong>S = a \u00d7 h<\/strong><\/p>\n<ul>\n<li>a: \u0111\u1ed9 d\u00e0i c\u1ea1nh \u0111\u00e1y.<\/li>\n<li>h: chi\u1ec1u cao \u1ee9ng v\u1edbi c\u1ea1nh \u0111\u00e1y \u0111\u00f3, t\u1ee9c kho\u1ea3ng c\u00e1ch t\u1eeb m\u1ed9t \u0111\u1ec9nh \u0111\u1ed1i di\u1ec7n \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ee9a c\u1ea1nh \u0111\u00e1y.<\/li>\n<\/ul>\n<p>V\u00ec sao c\u00f4ng th\u1ee9c \u0111\u00fang? C\u1eaft tam gi\u00e1c vu\u00f4ng \u1edf m\u1ed9t b\u00ean h\u00ecnh b\u00ecnh h\u00e0nh v\u00e0 gh\u00e9p sang b\u00ean kia, ta \u0111\u01b0\u1ee3c m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 chi\u1ec1u d\u00e0i a v\u00e0 chi\u1ec1u r\u1ed9ng h, n\u00ean di\u1ec7n t\u00edch b\u1eb1ng a \u00d7 h. \u0110\u00e2y c\u0169ng l\u00e0 l\u00fd do di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng di\u1ec7n t\u00edch <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-chu-nhat\/\">h\u00ecnh ch\u1eef nh\u1eadt<\/a> c\u00f3 c\u00f9ng \u0111\u00e1y v\u00e0 chi\u1ec1u cao.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-299479\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-3.jpg\" alt=\"Chi\u1ec1u cao AH c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh \u1ee9ng v\u1edbi \u0111\u00e1y DC\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>V\u00ed d\u1ee5: \u0111\u00e1y 7 cm, chi\u1ec1u cao 9 cm th\u00ec S = 7 \u00d7 9 = 63 cm\u00b2.<\/p>\n<table>\n<thead>\n<tr>\n<th>C\u1ea7n t\u00ecm<\/th>\n<th>C\u00f4ng th\u1ee9c<\/th>\n<th>V\u00ed d\u1ee5<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Di\u1ec7n t\u00edch<\/td>\n<td>S = a \u00d7 h<\/td>\n<td>a = 7 cm, h = 9 cm \u2192 S = 63 cm\u00b2<\/td>\n<\/tr>\n<tr>\n<td>C\u1ea1nh \u0111\u00e1y<\/td>\n<td>a = S : h<\/td>\n<td>S = 63 cm\u00b2, h = 9 cm \u2192 a = 7 cm<\/td>\n<\/tr>\n<tr>\n<td>Chi\u1ec1u cao<\/td>\n<td>h = S : a<\/td>\n<td>S = 48 cm\u00b2, a = 8 cm \u2192 h = 6 cm<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-299484\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-8.jpg\" alt=\"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng \u0111\u00e1y nh\u00e2n chi\u1ec1u cao\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>T\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh khi kh\u00f4ng c\u00f3 chi\u1ec1u cao<\/h2>\n<h3>Bi\u1ebft hai c\u1ea1nh k\u1ec1 v\u00e0 g\u00f3c xen gi\u1eefa<\/h3>\n<p style=\"text-align: center;\"><strong>S = a \u00d7 b \u00d7 sin \u03b1<\/strong><\/p>\n<p>Trong \u0111\u00f3 a, b l\u00e0 hai c\u1ea1nh k\u1ec1, \u03b1 l\u00e0 g\u00f3c gi\u1eefa ch\u00fang. C\u00f4ng th\u1ee9c \u0111\u1ebfn t\u1eeb vi\u1ec7c chi\u1ec1u cao \u1ee9ng v\u1edbi c\u1ea1nh a b\u1eb1ng b \u00d7 sin \u03b1. V\u00ed d\u1ee5 a = 6 cm, b = 4 cm, \u03b1 = 30\u00b0 th\u00ec S = 6 \u00d7 4 \u00d7 0,5 = 12 cm\u00b2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-299483\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-7.jpg\" alt=\"H\u00ecnh b\u00ecnh h\u00e0nh v\u1edbi hai c\u1ea1nh k\u1ec1 a v\u00e0 b\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3>Bi\u1ebft hai \u0111\u01b0\u1eddng ch\u00e9o v\u00e0 g\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng ch\u00e9o<\/h3>\n<p style=\"text-align: center;\"><strong>S = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u00d7 sin \u03c6<\/strong><\/p>\n<p>V\u00ed d\u1ee5 hai \u0111\u01b0\u1eddng ch\u00e9o d\u00e0i 10 cm v\u00e0 8 cm, h\u1ee3p v\u1edbi nhau g\u00f3c 30\u00b0 th\u00ec S = \u00bd \u00d7 10 \u00d7 8 \u00d7 0,5 = 20 cm\u00b2. V\u1edbi h\u00ecnh thoi, hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c (sin 90\u00b0 = 1) n\u00ean c\u00f4ng th\u1ee9c tr\u1edf th\u00e0nh \u00bd \u00d7 d\u2081 \u00d7 d\u2082, xem b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-thoi\/\">di\u1ec7n t\u00edch h\u00ecnh thoi<\/a>.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-299482\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-6.jpg\" alt=\"H\u00ecnh b\u00ecnh h\u00e0nh ABCD\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>L\u01b0u \u00fd: kh\u00f4ng c\u00f3 c\u00f4ng th\u1ee9c &#8220;\u00bd \u00d7 \u0111\u01b0\u1eddng ch\u00e9o \u00d7 c\u1ea1nh&#8221; cho h\u00ecnh b\u00ecnh h\u00e0nh; n\u1ebfu g\u1eb7p c\u00f4ng th\u1ee9c n\u00e0y \u1edf \u0111\u00e2u \u0111\u00f3, \u0111\u00f3 l\u00e0 c\u00f4ng th\u1ee9c sai.<\/p>\n<h2>B\u00e0i t\u1eadp di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 l\u1eddi gi\u1ea3i<\/h2>\n<p><strong>B\u00e0i 1:<\/strong> H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 c\u1ea1nh \u0111\u00e1y 7 cm, chi\u1ec1u cao 5 cm. T\u00ednh di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: S = 7 \u00d7 5 = 35 cm\u00b2.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 di\u1ec7n t\u00edch 48 cm\u00b2, c\u1ea1nh \u0111\u00e1y 8 cm. T\u00ednh chi\u1ec1u cao.<br \/>L\u1eddi gi\u1ea3i: h = 48 : 8 = 6 cm.<\/p>\n<p><strong>B\u00e0i 3:<\/strong> H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 di\u1ec7n t\u00edch 63 cm\u00b2, chi\u1ec1u cao 9 cm. T\u00ednh c\u1ea1nh \u0111\u00e1y.<br \/>L\u1eddi gi\u1ea3i: a = 63 : 9 = 7 cm.<\/p>\n<p><strong>B\u00e0i 4:<\/strong> H\u00ecnh b\u00ecnh h\u00e0nh ABCD c\u00f3 AB = 6 cm, AD = 4 cm, g\u00f3c A = 120\u00b0. T\u00ednh s\u1ed1 \u0111o c\u00e1c g\u00f3c c\u00f2n l\u1ea1i v\u00e0 di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: g\u00f3c C = g\u00f3c A = 120\u00b0, g\u00f3c B = g\u00f3c D = 180\u00b0 \u2212 120\u00b0 = 60\u00b0. S = 6 \u00d7 4 \u00d7 sin 60\u00b0 = 24 \u00d7 \u221a3\/2 = 12\u221a3 \u2248 20,78 cm\u00b2.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-299481\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-5.jpg\" alt=\"H\u00ecnh b\u00ecnh h\u00e0nh ABCD c\u00f3 g\u00f3c A b\u1eb1ng 120 \u0111\u1ed9, g\u00f3c D b\u1eb1ng 60 \u0111\u1ed9\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2023\/12\/dien-tich-hinh-binh-hanh-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><strong>B\u00e0i 5:<\/strong> H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 hai c\u1ea1nh 8 cm v\u00e0 5 cm, g\u00f3c xen gi\u1eefa 60\u00b0. T\u00ednh di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: S = 8 \u00d7 5 \u00d7 sin 60\u00b0 = 20\u221a3 \u2248 34,64 cm\u00b2.<\/p>\n<p><strong>B\u00e0i 6 (th\u1ef1c t\u1ebf):<\/strong> M\u1ed9t m\u1ea3nh \u0111\u1ea5t h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 c\u1ea1nh \u0111\u00e1y 25 m, chi\u1ec1u cao 12 m. T\u00ednh di\u1ec7n t\u00edch.<br \/>L\u1eddi gi\u1ea3i: S = 25 \u00d7 12 = 300 m\u00b2.<\/p>\n<h2>L\u1ed7i th\u01b0\u1eddng g\u1eb7p<\/h2>\n<ul>\n<li>D\u00f9ng c\u1ea1nh b\u00ean thay cho chi\u1ec1u cao: chi\u1ec1u cao l\u00e0 \u0111o\u1ea1n vu\u00f4ng g\u00f3c, lu\u00f4n ng\u1eafn h\u01a1n ho\u1eb7c b\u1eb1ng c\u1ea1nh b\u00ean.<\/li>\n<li>L\u1ea5y chi\u1ec1u cao \u1ee9ng v\u1edbi c\u1ea1nh n\u00e0y nh\u00e2n v\u1edbi c\u1ea1nh kia.<\/li>\n<li>Th\u00eam h\u1ec7 s\u1ed1 \u00bd v\u00e0o c\u00f4ng th\u1ee9c a \u00d7 b \u00d7 sin \u03b1 (\u0111\u00f3 l\u00e0 c\u00f4ng th\u1ee9c di\u1ec7n t\u00edch tam gi\u00e1c).<\/li>\n<li>Qu\u00ean \u0111\u1ed5i v\u1ec1 c\u00f9ng \u0111\u01a1n v\u1ecb v\u00e0 ghi \u0111\u01a1n v\u1ecb vu\u00f4ng cho k\u1ebft qu\u1ea3.<\/li>\n<\/ul>\n<h2>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p<\/h2>\n<h3>C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 g\u00ec?<\/h3>\n<p>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng c\u1ea1nh \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao \u1ee9ng v\u1edbi \u0111\u00e1y \u0111\u00f3: S = a \u00d7 h.<\/p>\n<h3>Mu\u1ed1n t\u00ednh chi\u1ec1u cao h\u00ecnh b\u00ecnh h\u00e0nh ta l\u00e0m th\u1ebf n\u00e0o?<\/h3>\n<p>L\u1ea5y di\u1ec7n t\u00edch chia cho c\u1ea1nh \u0111\u00e1y: h = S : a.<\/p>\n<h3>Kh\u00f4ng c\u00f3 chi\u1ec1u cao th\u00ec t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh th\u1ebf n\u00e0o?<\/h3>\n<p>D\u00f9ng hai c\u1ea1nh k\u1ec1 v\u00e0 g\u00f3c xen gi\u1eefa: S = a \u00d7 b \u00d7 sin \u03b1, ho\u1eb7c hai \u0111\u01b0\u1eddng ch\u00e9o v\u00e0 g\u00f3c gi\u1eefa ch\u00fang: S = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u00d7 sin \u03c6.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 b\u1eb1ng n\u1eeda t\u00edch hai \u0111\u01b0\u1eddng ch\u00e9o kh\u00f4ng?<\/h3>\n<p>Ch\u1ec9 \u0111\u00fang khi hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c, t\u1ee9c h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 h\u00ecnh thoi. Tr\u01b0\u1eddng h\u1ee3p chung ph\u1ea3i nh\u00e2n th\u00eam sin c\u1ee7a g\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng ch\u00e9o.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh v\u00e0 h\u00ecnh ch\u1eef nh\u1eadt li\u00ean quan th\u1ebf n\u00e0o?<\/h3>\n<p>H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 c\u00f9ng di\u1ec7n t\u00edch v\u1edbi h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 c\u00f9ng \u0111\u00e1y v\u00e0 chi\u1ec1u cao, v\u00ec c\u00f3 th\u1ec3 c\u1eaft gh\u00e9p th\u00e0nh h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00f3.<\/p>\n<h3>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh h\u1ecdc \u1edf l\u1edbp m\u1ea5y?<\/h3>\n<p>C\u00f4ng th\u1ee9c S = a \u00d7 h \u0111\u01b0\u1ee3c h\u1ecdc \u1edf To\u00e1n l\u1edbp 4 (ch\u01b0\u01a1ng tr\u00ecnh c\u0169) v\u00e0 To\u00e1n l\u1edbp 6 theo ch\u01b0\u01a1ng tr\u00ecnh GDPT 2018; c\u00f4ng th\u1ee9c c\u00f3 sin h\u1ecdc \u1edf l\u1edbp 10.<\/p>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"C\u00f4ng th\u1ee9c t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 g\u00ec?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng c\u1ea1nh \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao \u1ee9ng v\u1edbi \u0111\u00e1y \u0111\u00f3: S = a \u00d7 h.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Mu\u1ed1n t\u00ednh chi\u1ec1u cao h\u00ecnh b\u00ecnh h\u00e0nh ta l\u00e0m th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"L\u1ea5y di\u1ec7n t\u00edch chia cho c\u1ea1nh \u0111\u00e1y: h = S : a.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Kh\u00f4ng c\u00f3 chi\u1ec1u cao th\u00ec t\u00ednh di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"D\u00f9ng hai c\u1ea1nh k\u1ec1 v\u00e0 g\u00f3c xen gi\u1eefa: S = a \u00d7 b \u00d7 sin \u03b1, ho\u1eb7c hai \u0111\u01b0\u1eddng ch\u00e9o v\u00e0 g\u00f3c gi\u1eefa ch\u00fang: S = \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u00d7 sin \u03c6.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 b\u1eb1ng n\u1eeda t\u00edch hai \u0111\u01b0\u1eddng ch\u00e9o kh\u00f4ng?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"Ch\u1ec9 \u0111\u00fang khi hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c, t\u1ee9c h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 h\u00ecnh thoi. Tr\u01b0\u1eddng h\u1ee3p chung ph\u1ea3i nh\u00e2n th\u00eam sin c\u1ee7a g\u00f3c gi\u1eefa hai \u0111\u01b0\u1eddng ch\u00e9o.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh v\u00e0 h\u00ecnh ch\u1eef nh\u1eadt li\u00ean quan th\u1ebf n\u00e0o?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"H\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 c\u00f9ng di\u1ec7n t\u00edch v\u1edbi h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 c\u00f9ng \u0111\u00e1y v\u00e0 chi\u1ec1u cao, v\u00ec c\u00f3 th\u1ec3 c\u1eaft gh\u00e9p th\u00e0nh h\u00ecnh ch\u1eef nh\u1eadt \u0111\u00f3.\"\n      }\n    },\n    {\n      \"@type\": \"Question\",\n      \"name\": \"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh h\u1ecdc \u1edf l\u1edbp m\u1ea5y?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"C\u00f4ng th\u1ee9c S = a \u00d7 h \u0111\u01b0\u1ee3c h\u1ecdc \u1edf To\u00e1n l\u1edbp 4 (ch\u01b0\u01a1ng tr\u00ecnh c\u0169) v\u00e0 To\u00e1n l\u1edbp 6 theo ch\u01b0\u01a1ng tr\u00ecnh GDPT 2018; c\u00f4ng th\u1ee9c c\u00f3 sin h\u1ecdc \u1edf l\u1edbp 10.\"\n      }\n    }\n  ]\n}\n<\/script><\/p>\n<h2>K\u1ebft lu\u1eadn<\/h2>\n<p>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh t\u00ednh b\u1eb1ng \u0111\u00e1y nh\u00e2n chi\u1ec1u cao, S = a \u00d7 h; khi thi\u1ebfu chi\u1ec1u cao th\u00ec d\u00f9ng a \u00d7 b \u00d7 sin \u03b1 ho\u1eb7c \u00bd \u00d7 d\u2081 \u00d7 d\u2082 \u00d7 sin \u03c6. Ch\u00fa \u00fd ch\u1ecdn \u0111\u00fang chi\u1ec1u cao \u1ee9ng v\u1edbi \u0111\u00e1y v\u00e0 kh\u00f4ng th\u00eam h\u1ec7 s\u1ed1 \u00bd sai ch\u1ed7. B\u1ea1n c\u00f3 th\u1ec3 h\u1ecdc ti\u1ebfp b\u00e0i <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/cong-thuc-tinh-dien-tich-hinh-thang\/\">di\u1ec7n t\u00edch h\u00ecnh thang<\/a> v\u00e0 <a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/trong-tam-la-gi\/\">tr\u1ecdng t\u00e2m tam gi\u00e1c<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh b\u1eb1ng \u0111\u1ed9 d\u00e0i c\u1ea1nh \u0111\u00e1y nh\u00e2n v\u1edbi chi\u1ec1u cao t\u01b0\u01a1ng \u1ee9ng: S = a \u00d7 h. V\u00ed d\u1ee5 h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 \u0111\u00e1y 7 cm, chi\u1ec1u cao 9 cm th\u00ec S = 7 \u00d7 9 = 63 cm\u00b2. Khi kh\u00f4ng c\u00f3 chi\u1ec1u cao, c\u00f3 th\u1ec3 d\u00f9ng hai c\u1ea1nh k\u1ec1 v\u00e0 [&hellip;]<\/p>\n","protected":false},"author":91,"featured_media":299476,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh","_yoast_wpseo_title":"Di\u1ec7n T\u00edch H\u00ecnh B\u00ecnh H\u00e0nh: C\u00f4ng Th\u1ee9c V\u00e0 B\u00e0i T\u1eadp C\u00f3 L\u1eddi Gi\u1ea3i","_yoast_wpseo_metadesc":"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh S = a \u00d7 h. C\u00e1ch t\u00ecm \u0111\u00e1y, chi\u1ec1u cao, t\u00ednh di\u1ec7n t\u00edch khi bi\u1ebft hai c\u1ea1nh v\u00e0 g\u00f3c ho\u1eb7c hai \u0111\u01b0\u1eddng ch\u00e9o, k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.","footnotes":""},"categories":[3910,30453],"tags":[],"class_list":["post-299475","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 v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Di\u1ec7n T\u00edch H\u00ecnh B\u00ecnh H\u00e0nh: C\u00f4ng Th\u1ee9c V\u00e0 B\u00e0i T\u1eadp C\u00f3 L\u1eddi Gi\u1ea3i<\/title>\n<meta name=\"description\" content=\"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh S = a \u00d7 h. C\u00e1ch t\u00ecm \u0111\u00e1y, chi\u1ec1u cao, t\u00ednh di\u1ec7n t\u00edch khi bi\u1ebft hai c\u1ea1nh v\u00e0 g\u00f3c ho\u1eb7c hai \u0111\u01b0\u1eddng ch\u00e9o, k\u00e8m b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i chi ti\u1ebft.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tich-hinh-binh-hanh\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh: c\u00f4ng th\u1ee9c, c\u00e1c d\u1ea1ng b\u00e0i v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i\" \/>\n<meta property=\"og:description\" content=\"Di\u1ec7n t\u00edch h\u00ecnh b\u00ecnh h\u00e0nh S = a \u00d7 h. 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