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Giải bài 9.41 trang 60 sách bài tập toán 8 - Kết nối tri thức với cuộc sống

Một chiếc ti vi màn hình phẳng 32inch với chiều ngang màn hình là 72cm (1inch\( = 2,54cm\)). Tính chiều cao của màn hình ti vi đó.

💖Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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Đề bài

Một chiếc ti vi màn hình phẳng 32inch với chiều ngang màn hình là 72cm (1inch\( = 2,54cm\)). Tính chiều cao của màn hình ti vi đó.

Phương pháp giải - Xem chi tiết

Sử dụng kiến thức định lí Pythagore để tính độ dài đường cao: Trong một tam giác vuông, bình phương cạnh huyền bằng tổng các bình phương của hai cạnh góc vuông.

Lời giải chi tiết

Gọi chiều cao màn hình ti vi là h (cm).Áp dụng định lý Pythagore cho tam giác vuông với hai cạnh góc vuông là hai cạnh của màn hình chiếc ti vi. Khi đó, cạnh huyền của tam giác vuông này có độ dài bằng: \(32.2,54 = 81,28\left( {cm} \right)\)Áp dụng định lý Pythagore cho tam giác vuông trên ta có:\({h^2} = 81,{28^2} - {72^2} = 1422,4384\)Suy ra: \(h = \sqrt {1422,4384} cm\)

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