Cho tam giác nhọn ABC. Ba đường cao BE, AD, CF cắt nhau tại H. Trên các đoạn thẳng HA, HB, HC lần lượt lấy các điểm M, N, P sao cho góc BMC = góc CNA = góc APB = 90 độ. Chứng minh rằng các tam giác ANP, BMP và CMN là những tam giác cân.

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