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Giải bài 3 trang 88 sách bài tập toán 8 - Cánh diều

Tính chu vi của tứ giác \(ABCD\) ở Hình 5 (làm tròn kết quả đến hàng phần trăm của centimet). Biết rằng độ dài cạnh mỗi ô vuông là 1 cm.

ꩵTổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Cánh diều

Toán - Văn - Anh - Khoa học tự nhiên
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Đề bài

Tính chu vi của tứ giác \(ABCD\) ở Hình 5 (làm tròn kết quả đến hàng phần trăm của centimet). Biết rằng độ dài cạnh mỗi ô vuông là 1 cm.

Phương pháp giải - Xem chi tiết

Vẽ thêm các điểm \(M,N,P\) và áp dụng định lí Pythagore trong tam giác vuông: Trong một tam giác vuông, bình phương của cạnh huyền bằng tổng bình phương hai cạnh góc vuông.

Lời giải chi tiết

Ta vẽ thêm các điểm \(M,N,P\) như hình vẽ:

 

Ta có: \(AM = 5cm\), \(BM = 2cm\), \(BN = 4cm\), \(CN = 2cm\), \(CD = 2cm\), \(DP = 1cm\), \(AP = 6cm\)\(A{B^2} = A{M^2} + B{M^2} = 29\) suy ra \(AB = \sqrt {29} cm\)\(B{C^2} = B{N^2} + C{N^2} = 20\) suy ra \(BC = \sqrt {20} cm\)\(D{A^2} = D{P^2} + A{P^2} = 37\) suy ra \(DA = \sqrt {37} cm\).Chu vi của tứ giác \(ABCD\) là: \(\sqrt {29}  + \sqrt {20}  + 2 + \sqrt {37}  \approx 17,94\left( {cm} \right)\).

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