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Giải bài 5 trang 72 vở thực hành Toán 8

Để đo khoảng cách giữa hai vị trí B và E ở hai bên bờ sông, bác An chọn ba vị trí A, F, C

🎃Tổng hợp đề thi học kì 2 lớp 8 tất cả các môn - Kết nối tri thức

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

Để đo khoảng cách giữa hai vị trí B và E ở hai bên bờ sông, bác An chọn ba vị trí A, F, C cùng nằm ở một bên bờ sông sao cho ba điểm C, E, B thẳng hàng, ba điểm C, F, A thẳng hàng và AB // EF (H.4.8). Sau đó bác An đo được AF = 40 m, FC = 20 m, EC = 30 m. Hỏi khoảng cách giữa hai vị trí B và E bằng bao nhiêu?

 

Phương pháp giải - Xem chi tiết

Áp dụng định lí Thalès: Nếu một đường thẳng song song với một cạnh của tam giác và cắt hai cạnh cong lại thì nó định ra trên hai cạnh đó những đoạn thẳng tương ứng tỉ lệ.

Lời giải chi tiết

🧔Ta có AB // EF nên theo định lí Thales ta có: \(\frac{{EC}}{{EB}} = \frac{{FC}}{{AF}}\) nên \(\frac{{30}}{{EB}} = \frac{{20}}{{40}}\) suy ra EB . 20 = 40 . 30, do đó EB = 60 (m).

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Tham Gia Group Dành Cho Lớp 8 Chia Sẻ, Trao Đổi Tài Liệu Miễn Phí

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