Cho ∆ABC có góc B và góc C là hai góc nhọn, dựng phía ngoài ∆ABC các ∆ABE và ACF vuông cân tại B và C. Dựng AH, FN, EM vuông góc với đường thẳng BC (H, N, M thuộc đường thẳng BC). Chứng minh rằng: a) ∆AHC=∆CNF. b) BM = CN và BC = EM + FN. c) ∆ABC cần có điều kiện gì để 3 điểm E, A, F thẳng hàng.

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