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Giải bài 5 trang 62 SGK Toán 8 – Chân trời sáng tạo

Cho biết thang của một xe máy cứu hỏa có chiều dài (13)m,

ℱTổng 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

🍨Cho biết thang của một xe máy cứu hỏa có chiều dài \(13\)m, chân thang cách mặt đất \(3\)m và cách tường của toàn nhà \(5\)m. Tính chiều cao mà thang có thể vươn tới.

 

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Sử dụng định lý Pythagore tính khoảng cách của xe đến đầu thang Tính chiều cao mà thang có thể vươn tới

Lời giải chi tiết

Gọi \(x\) là khoảng cách của xe đến đầu thang (m)

Áp dụng định lý Pythagore vào tam giác vuông trong hình ta có:

\({x^2} + {5^2} = {13^2}\)

\({x^2} = {13^2} - {5^2} = 144 = {12^2}\)

\(x = 12\) (m)

Chiều cao mà thang có thể vươn tới là:

\(12 + 3 = 15\) (m)

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