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Giải bài 3.7 trang 62 SGK Toán 8 - Cùng khám phá

Tính độ dài các cạnh và đường chéo của tứ giác
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Đề bài

Tính độ dài các cạnh và đường chéo của tứ giác \(ABCD\) trong Hình 3.23▨ (ta quy ước độ dài cạnh mỗi ô vuông nhỏ là 1 cm).

Phương pháp giải - Xem chi tiết

Áp dụng định lý Pythagore tính đường chéo và các cạnh của hình tứ giác.

Lời giải chi tiết

Độ dài cạnh BC là: \(BC = \sqrt {{1^2} + {3^2}}  = \sqrt {10} \)Độ dài cạnh CD là: \(CD = \sqrt {{4^2} + {2^2}}  = 2\sqrt 5 \)Độ dài cạnh DA là: \(DA = 6\)Độ dài cạnh AB là: \(AB = \sqrt {{1^2} + {3^3}}  = \sqrt {10} \)Độ dài đường chéo AC là: \(AC = \sqrt {{4^2} + {4^2}}  = 4\sqrt 2 \)Độ dài đường chéo BD là: \(BD = \sqrt {{5^2} + {3^2}}  = \sqrt {34} \)

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