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Giải bài 4.16 trang 103 SGK Toán 8 - Cùng khám phá

Diện tích xung quanh của hình chóp tam giác đều bằng
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Đề bài

Diện tích xung quanh của hình chóp tam giác đều bằng \(144c{m^2}\). Tính độ dài đường cao của mặt bên kẻ từ đỉnh của hình chóp tam giác đều, biết cạnh đáy của nó dài \(12cm\).

Phương pháp giải - Xem chi tiết

Áp dụng công thức tính diện tích xung quanh của hình chóp tam giác đều \({S_{xq}} = p.d\) để tính độ dài đường cao của mặt bên kẻ từ đỉnh của hình chóp tam giác đều.

Lời giải chi tiết

Độ dài đường cao của mặt bên kẻ từ đỉnh của hình chóp tam giác đều là:\(\begin{array}{l}{S_{xq}} = p.d\\144 = \left( {\frac{{12.3}}{2}} \right).d\\ =  > d = 8cm\end{array}\)

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