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Giải bài 6 trang 97 SGK Toán 8 tập 1 - Cánh diều

Hình 10 mô tả mặt cắt đứng

🌳Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Cánh diều

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

Hình 10 mô tả mặt cắt đứng của một sân khấu ngoài trời có mái che. Chiều cao của khung phía trước khoảng 7 m, chiều cao của khung phía sau là 6 m, hai khung cách nhau một khoảng 5 m. Chiều dài của mái che sân khấu đó là bao nhiêu mét (làm tròn kết quả đến hàng phần trăm)

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Kẻ đường thẳng từ đỉnh của chiều cao khung phía sau vuông góc đến chiều cao khung phía trước sẽ tạo thành 1 tam giác vuông với cạnh huyền là chiều dài của mái che sân khấu.

Lời giải chi tiết

Gọi CB là chiều dài của mái che sân khấu. AB =7- 6 = 1m, AC = 5m.Từ C kẻ đường thẳng vuông góc với khung trước của sân khấu tại A. Ta có \( \Delta ABC \) vuông tại A.Áp dụng định lí Pythagore trong tam giác vuông tại A. ta có:\(C{B^2} = A{C^2} + A{B^2} = {1^2} + {5^2} = 26 \Rightarrow CB = \sqrt {26}  = 5,10(m)\)

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