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Giải bài 3 trang 50 SGK Toán 8 tập 2– Chân trời sáng tạo

Với số liệu được ghi trên Hình 21

⭕Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

Với số liệu được ghi trên Hình 21. Hãy tính khoảng cách \(CD\) từ con tàu đến trạm quan trắc đặt tại điểm \(C\).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Nếu một đường thẳng cắt hai cạnh của một tam giác và song song với cạnh thứ ba thì tạo ra một tam giác mới có ba cạnh tương ứng tỉ lệ với ba cạnh của tam giác đã cho.

Lời giải chi tiết

Ta có \(\widehat {ABE} = \widehat {ACD}\), mà hai góc này ở vị trí đồng vị nên \(BE//CD\). Ta có: \(AC = AB + BC = 200 + 400 = 600m\) Xét tam giác \(ACD\) có \(BE//CD\) nên theo hệ quả của định lí Thales ta có: \(\frac{{AB}}{{AC}} = \frac{{BE}}{{CD}} \Rightarrow \frac{{200}}{{600}} = \frac{{120}}{{CD}}\). Do đó, \(CD = \frac{{120.600}}{{200}} = 360\). Vậy \(CD = 360m\).

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