{"article_info":{"article_id":139278,"cat_id":1391,"cat_title":"SGK Toán 8 - Chân trời sáng tạo","publish_time":1684469580,"cat_id2":1391,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_6.png","title":"Giải bài 4 trang 62 SGK Toán 8 – Chân trời sáng tạo","label":"Giải bài 4 trang 62","alias":"giai-bai-4-trang-62-sgk-toan-8-chan-troi-sang-tao","introtext":"Chứng minh rằng tam giác (ABC) vuông trong các trường hợp sau:","content":"<style>\r\n.method-close-icon{position: relative;float: right;top: 6px;transform: rotate(270deg);-ms-transform:rotate(270deg);-moz-transform:rotate(270deg);-webkit-transform:rotate(270deg);-o-transform:rotate(270deg);}\r\n.method-open-icon{position: relative;float: right;top: 6px;}\r\n</style>\r\n<p><strong style=\"font-size: 16px;\">Đề bài</strong></p><p><span lang=\"VI\">Chứng minh rằng tam giác </span><span class=\"MTConvertedEquation\">\\(ABC\\)</span><span lang=\"VI\"> vuông trong các trường hợp sau:</span></p>\r\n<p><span lang=\"VI\">a) </span><span class=\"MTConvertedEquation\">\\(AB = 8\\)</span><span lang=\"VI\">cm, </span><span class=\"MTConvertedEquation\">\\(AC = 15\\)</span><span lang=\"VI\">cm, </span><span class=\"MTConvertedEquation\">\\(BC = 17\\)</span><span lang=\"VI\">cm</span></p>\r\n<p><span lang=\"VI\">b) </span><span class=\"MTConvertedEquation\">\\(AB = 29\\)</span><span lang=\"VI\">cm, </span><span class=\"MTConvertedEquation\">\\(AC = 21\\)</span><span lang=\"VI\">cm, </span><span class=\"MTConvertedEquation\">\\(BC = 20\\)</span><span lang=\"VI\">cm</span></p>\r\n<p><span lang=\"VI\">c) </span><span class=\"MTConvertedEquation\">\\(AB = 12\\)</span><span lang=\"VI\">cm, </span><span class=\"MTConvertedEquation\">\\(AC = 37\\)</span><span lang=\"VI\">, </span><span class=\"MTConvertedEquation\">\\(BC = 35\\)</span><span lang=\"VI\">cm</span></p><div id=\"pos_end_question\"></div><div style=\"padding-top: 10px;padding-bottom: 2px;margin-bottom: 10px;\"><p class=\"show-detail-method\" style=\"background: #654bc2;text-align: center;border-radius:5px;padding: 10px;margin-bottom: 0px;\" onclick=\"showDetailMethod();\"><strong style=\"font-size: 16px;\">Phương pháp giải - Xem chi tiết</strong><img class=\"method-open-icon\" id=\"method_colapse_icon\" src=\"data:image/png;base64,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\"></p>  <div class=\"content_method_content\" style=\"padding: 10px 10px 5px 10px;border: dashed 1px #654bc2;border-top:none;\"><p>Sử dụng định lý Pythagore đảo</p>  </div>\r\n<script type=\"text/javascript\">\r\n    var is_open =true;\r\n    function showDetailMethod(){\r\n        if(is_open){\r\n            document.querySelector(\".content_method_content\").style.display='none';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-open-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-close-icon\");\r\n        }else{\r\n            document.querySelector(\".content_method_content\").style.display='block';\r\n            document.getElementById(\"method_colapse_icon\").classList.remove(\"method-close-icon\");\r\n            document.getElementById(\"method_colapse_icon\").classList.add(\"method-open-icon\");\r\n        }\r\n        is_open = !is_open;\r\n    }\r\n</script>\r\n</div><p><strong style=\"font-size: 16px;\">Lời giải chi tiết</strong></p><p>a) Ta có: <span class=\"MTConvertedEquation\">\\({8^2} + {15^2} = {17^2}\\)</span> suy ra <span class=\"MTConvertedEquation\">\\(A{B^2} + A{C^2} = B{C^2}\\)</span>. Vậy tam giác <span class=\"MTConvertedEquation\">\\(ABC\\)</span> vuông tại <span class=\"MTConvertedEquation\">\\(A\\)</span></p>\r\n<p>b) Ta có: <span class=\"MTConvertedEquation\">\\({20^2} + {21^2} = {29^2}\\)</span> suy ra <span class=\"MTConvertedEquation\">\\(B{C^2} + A{C^2} = A{B^2}\\)</span>. Vậy tam giác <span class=\"MTConvertedEquation\">\\(ABC\\)</span> vuông tại <span class=\"MTConvertedEquation\">\\(C\\)</span></p>\r\n<p>c) Ta có: <span class=\"MTConvertedEquation\">\\({12^2} + {35^2} = {37^2}\\)</span> suy ra <span class=\"MTConvertedEquation\">\\(A{B^2} + B{C^2} = A{C^2}\\)</span>. Vậy tam giác <span class=\"MTConvertedEquation\">\\(ABC\\)</span> vuông tại <span class=\"MTConvertedEquation\">\\(B\\)</span></p>","common_article":"","display_type":1,"vungoi_exam_id":"","article_type":1,"cmt_count":0,"zip_status":1,"last_modified_time":1695805210,"last_zip_time":1695805210,"zip_link":"https://offline.loigiaihay.com/articles/1391/139278/139278_1695805210.zip","picture":"https://img.loigiaihay.com/picture/article/2023/0519/1-0_6.png","youtube_id":"ezkTYvXj044","video_start_time":"2504","quizlet_id":"0","ref_article_id":0,"readmore_display_type":0,"wiki":0,"comment_url":"https://loigiaihay.com/comment/giai-bai-4-trang-62-sgk-toan-8-chan-troi-sang-tao-c1391a139278.html","origin_url":"https://loigiaihay.com/giai-bai-4-trang-62-sgk-toan-8-chan-troi-sang-tao-c1391a139278.html","relate_link":[],"exam_file":"","solution_file":""},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":139280,"cat_id":1391,"publish_time":1684469820,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_7.png","title":"Giải bài 5 trang 62 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-bai-5-trang-62-sgk-toan-8-chan-troi-sang-tao","introtext":"Cho biết thang của một xe máy cứu hỏa có chiều dài (13)m, ","display_type":1,"article_type":1},{"article_id":139281,"cat_id":1391,"publish_time":1684470000,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_8.png","title":"Giải bài 6 trang 62 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-bai-6-trang-62-sgk-toan-8-chan-troi-sang-tao","introtext":"Một con thuyền đang neo ở một điểm cách chân tháp hải đăng (180)m. ","display_type":1,"article_type":1},{"article_id":139277,"cat_id":1391,"publish_time":1684469280,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_5.png","title":"Giải bài 3 trang 62 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-bai-3-trang-62-sgk-toan-8-chan-troi-sang-tao","introtext":"Lần lượt tính độ dài các cạnh huyền (a), (b), (c), (d) của các tam giác vuông trong Hình 12.","display_type":1,"article_type":1},{"article_id":139276,"cat_id":1391,"publish_time":1684468980,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_4.png","title":"Giải bài 2 trang 62 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-bai-tap-2-trang-62-sgk-toan-8-chan-troi-sang-tao","introtext":"Tính độ cao của con diều so với mặt đất (Hình 11)","display_type":1,"article_type":1},{"article_id":139274,"cat_id":1391,"publish_time":1684468620,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_3.png","title":"Giải bài 1 trang 61 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-bai-1-trang-61-sgk-toan-8-chan-troi-sang-tao","introtext":"Cho tam giác (ABC) vuông tại (A).","display_type":1,"article_type":1},{"article_id":139273,"cat_id":1391,"publish_time":1684467780,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_2.png","title":"Giải mục 3 trang 61 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-muc-3-trang-61-sgk-toan-8-chan-troi-sang-tao","introtext":"Tính các độ dài (PN) và (BC) trong Hình 9.","display_type":2,"article_type":1},{"article_id":139268,"cat_id":1391,"publish_time":1684465980,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0_1.png","title":"Giải mục 2 trang 59, 60 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-muc-2-trang-59-60-sgk-toan-8-chan-troi-sang-tao","introtext":"Vẽ vào vở tam giác (ABC) ","display_type":2,"article_type":1},{"article_id":139259,"cat_id":1391,"publish_time":1684462260,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0519/resize_1-0.png","title":"Giải mục 1 trang 58, 59 SGK Toán 8 – Chân trời sáng tạo","alias":"giai-muc-1-trang-58-59-sgk-toan-8-chan-troi-sang-tao","introtext":"Cho một tam giác vuông có hai  cạnh góc vuông là (a), (b) và cạnh huyền là (c).","display_type":2,"article_type":1},{"article_id":139966,"cat_id":1391,"publish_time":1685528460,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2023/0531/resize_1-0_65.png","title":"Lý thuyết Định lí Pythagore SGK Toán 8 - Chân trời sáng tạo","alias":"ly-thuyet-dinh-li-pythagore-sgk-toan-8-chan-troi-sang-tao","introtext":"Định lí Pythagore","display_type":0,"article_type":1}],"event_info":{"title":"Bài 1. 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