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Giải bài 3.5 trang 58 SGK Toán 8 - Cùng khám phá

Hình 3.12 là bản vẽ mô tả một lều hình chữ A khi cắm trại, BC là dây lèo
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Đề bài

Hình 3.12 là bản vẽ mô tả một lều hình chữ A khi cắm trại, BC là dây lèo, AB là cột chính cao \(1,6m\) và AC là khoảng cách từ chân cột đến vị trí cọc C. Tính độ dài dây BC theo mét (không tính phần dây buộc vào cọc), biết tam giác ABC vuông cân tại A và \(AC = 1,6m\)( làm tròn kết quả đến hàng phần mười).

Phương pháp giải - Xem chi tiết

Sử dụng định lí Pythagore vào tam giác ABC.

Lời giải chi tiết

Xét tam giác ABC vuông tại A có \(B{C^2} = A{B^2} + A{C^2}\) (định lí Pythagore)\( \Rightarrow BC = \sqrt {{{\left( {1,6} \right)}^2} + {{\left( {1,6} \right)}^2}}  \approx 2,26\left( m \right)\)Vậy độ dài dây BC là 2,26 m.

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