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Giải bài 3 trang 55 vở thực hành Toán 8

Cho hình bình hành ABCD có AB = 3 cm, AD = 5 cm.

🤡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

Cho hình bình hành ABCD có AB = 3 cm, AD = 5 cm. a) Hỏi tia phân giác của góc A cắt cạnh CD hay cạnh BC? b) Tính khoảng cách từ giao điểm đó đến điểm C.

Phương pháp giải - Xem chi tiết

Sử dụng tính chất của hình bình hành và tia phân giác của một góc.

Lời giải chi tiết

(H.3.26). a) Do ABCD là hình bình hành nên AD // BC, BC = AD = 5 cm.Do BC = 5 cm nên có điểm E duy nhất trên cạnh BC sao cho BE = 3 cm.

🍰Vì BE = AB ⇒ ∆BAE cân tại B \( \Rightarrow \widehat {BAE} = \widehat {BEA}.\) (1)

♉Do AD // BC \( \Rightarrow \widehat {BEA} = \widehat {EAD}\) (hai góc so le trong). (2)

🔴Từ (1) và (2), ta có \(\widehat {BAE} = \widehat {EAD}\) hay tia AE là tia phân giác của góc BAD. Tia này không cắt cạnh CD.

b) Ta có EC = BC – BE = 5 – 3 = 2 (cm).

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