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Giải bài 4 trang 111 SGK Toán 8 tập 1 - Cánh diều

Một khu vườn có dạng tứ giác ABCD

🌠Tổng 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

Một khu vườn có dạng tứ giác ABCD với các góc A, B, D là góc vuông, AB = 400 m, AD = 300 m. Người ta đã làm một cái hồ nước có dạng hình tròn, khi đó vị trí C không còn nằm trong khu vườn nữa (hình 52). Tính khoảng cách từ vị trí C đến mỗi vị trí A, B, D.

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Chứng minh ABCD là hình chữ nhật

Lời giải chi tiết

😼Tứ giác ABCD có các góc A, B, D là góc vuông nên tứ giác ABCD là hình chữ nhật

Khi đó: CD = AB = 400 m

CB = AD = 300

Xét tam giác vuông ABC vuông tại B ta có:

ไ\(\begin{array}{l}A{C^2} = A{B^2} + B{C^2} = {400^2} + {300^2} = 250000\\ \Rightarrow AC = 500\end{array}\)

🅠Vậy khoảng cách từ C đến mỗi vị trí A, B, D lần lượt là: 500m; 300m; 400m.

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