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Giải bài 6.5 trang 42 SGK Toán 8 - Cùng khám phá

Trong Hình 6.17, mặt đường rộng \(10\,m\) và hai lề đường song song với nhau.
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Đề bài

Trong Hình 6.17, mặt đường rộng \(10\,m\) và hai lề đường song song với nhau. Vị trí Nam đứng trên vỉa hè (điểm \(N),\) điểm \(A\) và vị trí trạm xe buýt bên kia đường (điểm \(B)\) thẳng hàng. Biết Nam đứng cách đường \(3\,m,\) khoẳng cách \(AN = 6m.\) Tìm khoảng cách \(BN\) giữa Nam và trạm xe buýt.

 

Phương pháp giải - Xem chi tiết

Dựa vào định lí Thales thuận để tính khoảng cách \(BN\) giữa Nam và trạm xe buýt.

Lời giải chi tiết

Vì hai lề đường song song với nhau nên ta có \(CA//DB\)Áp dụng định lí Thales thuận ta có:\(\begin{array}{l}\frac{{CN}}{{CD}} = \frac{{AN}}{{AB}}\\ \Leftrightarrow \frac{3}{{10}} = \frac{6}{{AB}}\\ =  > AB = 20\left( m \right)\end{array}\)

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Tham Gia Group Dành Cho Lớp 8 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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