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Giải bài 11 trang 74 sách bài tập toán 9 - Chân trời sáng tạo tập 1

Tam giác ABC vuông tại A, có AB = 24 cm, BC = 25 cm, AH là đường cao (Hình 5). a) AC = 8 cm b) (widehat B approx {16,26^o}) c) ({rm{cosC = }}frac{{24}}{{25}}) D. (AH approx 7)

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

Toán - Văn - Anh
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Đề bài

Chọn đúng hoặc sai cho mỗi ý a), b), c), d).

Tam giác ABC vuông tại A, có AB = 24 cm, BC = 25 cm, AH là đường cao (Hình 5).

a) AC = 8 cm b) \(\widehat B \approx {16,26^o}\) c) \({\rm{cosC = }}\frac{{24}}{{25}}\) D. \(AH \approx 7\)

Phương pháp giải - Xem chi tiết

Vận dụng tỉ số lượng giác của góc nhọn và hệ thức giữa cạnh và góc giúp giải tam giác vuông thuận lợi và nhanh chóng.

Lời giải chi tiết

a) Sai vì AC = \(\sqrt {B{C^2} - A{B^2}}  = \sqrt {{{25}^2} - {{24}^2}}  = 7\). b) Đúng vì \(\tan B = \frac{{AC}}{{AB}} = \frac{7}{{24}}\) suy ra \(\widehat B \approx {16,26^o}\). c) Sai vì \({\rm{cosC = }}\frac{{AC}}{{BC}} = \frac{7}{{25}}\). d) Đúng vì AH = tan B. AB = \(\frac{7}{{24}}.\)24 = 7 cm.

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

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