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Giải bài 4.2 trang 47 sách bài tập toán 8 - Kết nối tri thức với cuộc sống

Tìm độ dài x trong các hình vẽ sau (H.5.4)

ওTổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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

Tìm độ dài x trong các hình vẽ sau (H.5.4)

 

Phương pháp giải - Xem chi tiết

Sử dụng kiến thức về định lí Thalès để tính x: Nếu một đường thẳng song song với một cạnh của tam giác và cắt hai cạnh còn lại thì nó định ra trên hai cạnh đó những đoạn thẳng tương ứng tỉ lệ.

Lời giải chi tiết

a) Tam giác ABC có: PQ//BC nên theo định lí Thalès ta có: \(\frac{{AP}}{{BP}} = \frac{{AQ}}{{QC}}\)\(\frac{5}{{3,5}} = \frac{4}{x}\) nên \(x = \frac{{4.3,5}}{5} = 2,8\)b) Tam giác MNP có: FE//NM nên theo định lí Thalès ta có: \(\frac{{EP}}{{EM}} = \frac{{FP}}{{NF}}\)\(\frac{x}{{10,5}} = \frac{{24 - 15}}{{15}}\) nên \(x = \frac{{10,5.9}}{{15}} = 6,3\)

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