Cho △MNP vuông tại M có MN=4cm, MP=3cm a) Tính độ dài NP và so sánh các góc của △MNP b) Trên tia đối của tia PM lấy điểm A sao P là trung điểm của đoạn thẳng AM. Qua P dựng đường thẳng vuông góc với AM cắt AN tại C. Chứng minh: △CPM = △CPA c) Chứng minh CM = CN d) Gọi G là giao điểm của MC và NP. Tính độ dài NG e) Từ A vẽ đường thẳng vuông góc với đường thẳng NP tại D. Vẽ tia Nx là tia phân giác của MNP. Vẽ tia Ay là tia phân giác của PAD. Tia Ay cắt các tia NP,Nx, tia NM lần lượt tại E, H, K. Chứng minh △NEK cân

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