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Giải bài 3 trang 42 sách bài tập toán 8 - Chân trời sáng tạo tập 2

Trong Hình 10, cho biết QR//NP và \(MQ = 10cm,NQ = 5cm,RP = 6cm\). Tính độ dài MR.

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Đề bài

Trong Hình 10, cho biết QR//NP và \(MQ = 10cm,NQ = 5cm,RP = 6cm\). Tính độ dài MR.

Phương pháp giải - Xem chi tiết

Sử dụng kiến thức về định lí Thalès trong tam giác để tính: 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 các đoạn thẳng tương ứng tỉ lệ.

Lời giải chi tiết

Tam giác MNP có: QR//NP nên theo định lí Thalès trong tam giác ta có:\(\frac{{MR}}{{RP}} = \frac{{MQ}}{{NQ}} = \frac{{10}}{5} = 2\) nên \(MR = 2RP = 2.6 = 12\left( {cm} \right)\)

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