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Giải bài 6 trang 73 sách bài tập toán 8 - Chân trời sáng tạo

Cho hình thoi EFGH có hai đường chéo cắt nhau tại O. Biết \(OE = 6,OF = 8\). Độ dài cạnh EF là

🎀Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Chân trời sáng tạo

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Đề bài

Cho hình thoi EFGH có hai đường chéo cắt nhau tại O. Biết \(OE = 6,OF = 8\). Độ dài cạnh EF là A. 12. B. 16. C. 10. D. 100.

Phương pháp giải - Xem chi tiết

+ Sử dụng kiến thức về định lí Pythagore vào tam giác vuông để tính: Trong một tam giác vuông, bình vuông độ dài của cạnh huyền bằng tổng các bình phương độ dài của hai cạnh góc vuông. + Sử dụng kiến thức về tính chất hình thoi: Trong hình thoi, hai đường chéo vuông góc tại trung điểm mỗi đường.

Lời giải chi tiết

Vì EFGH là hình thoi nên \(EG \bot FH\) tại O.Do đó tam giác EOF vuông tại O. Theo định lí Pythagore ta có: \(EF = \sqrt {O{E^2} + O{F^2}}  = \sqrt {{6^2} + {8^2}}  = 10\)Chọn C

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