{"article_info":{"article_id":106763,"cat_id":807,"cat_title":"SGK Toán 7 - Kết nối tri thức","publish_time":1647337800,"cat_id2":807,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2022/0315/resize_6-13-0_30.jpg","title":"Giải bài 4.16 trang 74 SGK Toán 7 tập 1 - Kết nối tri thức","label":"Bài 4.16 trang 74 ","alias":"giai-bai-416-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc","introtext":"Cho hai tam giác ABC và DEF thoả mãn","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>Cho hai tam giác ABC và DEF thoả mãn \\(AB = DE,AC = DF,\\widehat {BAC} = \\widehat {EDF} = {60^\\circ },BC = 6\\;{\\rm{cm}},\\widehat {ABC} = {45^\\circ }\\). Tính độ dài cạnh EF và số đo các góc ACB, DEF, EFD.</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>Chứng minh hai tam giác bằng nhau theo trường hợp cạnh – góc - cạnh</p>\r\n<p>Từ đó suy ra các cặp cạnh và các cặp góc tương ứng bằng nhau</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><img src=\"https://img.loigiaihay.com/picture/2022/1125/capture_10.PNG\" style=\"width: 100%; max-width: 500px;\" /></p>\r\n<p>Xét hai tam giác ABC và DEF có:</p>\r\n<p>\\(\\begin{array}{l}AB = DE\\\\AC = DF\\\\\\widehat {BAC} = \\widehat {EDF} (= {60^\\circ })\\end{array}\\)</p>\r\n<p>\\(\\Rightarrow \\Delta ABC = \\Delta DEF\\)(c.g.c)</p>\r\n<p>Do đó:</p>\r\n<p>\\(BC=EF = 6cm\\) ( 2 cạnh tương ứng)</p>\r\n<p>\\( \\widehat {ABC} =\\widehat {DEF}= {45^o}\\) (2 góc tương ứng)</p>\r\n<p>\\(\\begin{array}{l}\\widehat {BAC} + \\widehat {ABC} + \\widehat {ACB} = {180^o}\\\\ \\Rightarrow {60^o} + {45^o} + \\widehat {ACB} = {180^o}\\\\ \\Rightarrow \\widehat {ACB} = {75^o}\\end{array}\\)</p>\r\n<p>\\( \\Rightarrow \\widehat {EFD} = \\widehat {ACB} = {75^o}\\)</p>","common_article":"","display_type":1,"vungoi_exam_id":"","article_type":1,"cmt_count":1,"zip_status":1,"last_modified_time":1700614366,"last_zip_time":1700614366,"zip_link":"https://offline.loigiaihay.com/articles/807/106763/106763_1669348905.zip","picture":"https://img.loigiaihay.com/picture/article/2022/0315/6-13-0_30.jpg","youtube_id":"","video_start_time":"0","quizlet_id":"0","ref_article_id":0,"readmore_display_type":0,"wiki":0,"comment_url":"https://loigiaihay.com/comment/giai-bai-416-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc-c807a106763.html","origin_url":"https://loigiaihay.com/giai-bai-416-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc-c807a106763.html","relate_link":[]},"callouts":[],"relate_articles":[],"others_in_cat":[{"article_id":106767,"cat_id":807,"publish_time":1647337980,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2022/0315/resize_6-13-0_31.jpg","title":"Giải bài 4.17 trang 74 SGK Toán 7 tập 1 - Kết nối tri thức","alias":"giai-bai-417-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc","introtext":"Cho hai tam giác ABC và DEF thoả mãn AB = DE, \r\n","display_type":1,"article_type":1},{"article_id":106769,"cat_id":807,"publish_time":1647338100,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2022/0315/resize_6-13-0_32.jpg","title":"Giải bài 4.18 trang 74 SGK Toán 7 tập 1 - Kết nối tri thức","alias":"giai-bai-418-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc","introtext":"Cho Hình 4.44, biết EC = ED và ","display_type":1,"article_type":1},{"article_id":106774,"cat_id":807,"publish_time":1647338220,"is_link":0,"thumbnail":"https://img.loigiaihay.com/picture/article/2022/0315/resize_6-13-0_33.jpg","title":"Giải bài 4.19 trang 74 SGK Toán 7 tập 1 - Kết nối tri thức","alias":"giai-bai-419-trang-74-sgk-toan-7-tap-1-ket-noi-tri-thuc","introtext":"Cho tia Oz là tia phân giác của góc xOy. 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