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In a triangle ABC the altitudes AD and CE meet at H (see the figure below). M, N, and F are the midpoints of AH, CH, and AC, respectively. If O is the circumcenter of triangle MFN and OG is perpendicular to MN, prove that BH = 4.OG.

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Add or view a solution to the problem 1054 Last updated: Dec 2, 2014