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Giải bài 4 trang 115 SGK Toán 8 tập 1 - Cánh diều

Hình 62 mô tả một ô lưới mắt cáo

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

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Đề bài

Hình 62 mô tả một ô lưới mắt cáo có dạng hình thoi với độ dài của hai đường chéo là 45 mmm và 90 mm. Độ dài cạnh của ô lưới mắt đó là bao nhiêu milimét (làm tròn kết quả đến hàng đơn vị)?

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Lời giải chi tiết

Giả sử mắt lưới cần tính độ dài cạnh là hình thoi ABCD. Có. AC = 45mm; BD = 90mm. Gọi O là giao điểm của AC và BD. Vì ABCD là hình thoi nên \(\begin{array}{l}OA = OC = \dfrac{{AC}}{2} = \dfrac{{45}}{2} = 22,5(mm)\\OB = OD = \dfrac{{BD}}{2} = \dfrac{{90}}{2} = 45(mm)\end{array}\) Xét \(\Delta AOB\) vuông tại O có: \(\begin{array}{l}A{O^2} + O{B^2} = A{B^2}\\{(22,5)^2} + {(45)^2} = A{B^2} \Rightarrow A{B^2} = 2.531,25 \Rightarrow AB \approx 50(mm)\end{array}\)

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