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Giải bài 4 trang 87 sách bài tập toán 9 - Chân trời sáng tạo tập 2

Cho tứ giác ABCD nội tiếp đường tròn (O; R) và (widehat A = {90^o}), BD = 12 cm. Độ dài của bán kính R là A. 12 cm B. 24 cm C. 6 cm D. (6sqrt 2 )cm

Tổng hợp Đề thi vào 10 có đáp án và lời giải

Toán - Văn - Anh
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Đề bài

Cho tứ giác ABCD nội tiếp đường tròn (O; R) và \(\widehat A = {90^o}\), BD = 12 cm. Độ dài của bán kính R là A. 12 cm B. 24 cm C. 6 cm D. \(6\sqrt 2 \)cm

Phương pháp giải - Xem chi tiết

Chứng minh ABCD là hình vuông nội tiếp đường tròn có bán kính bằng nửa đường chéo.

Lời giải chi tiết

Ta có tứ giác ABCD nội tiếp đường tròn (O; R) và \(\widehat A = {90^o}\) nên ABCD là hình vuông. Vậy độ dài của bán kính R là \(\frac{{BD}}{2} = \frac{{12}}{2} = 6cm\). Chọn đáp án C.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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