Problem 560: Triangle, Cevian, Incenter, Incircle, Perpendicular,
Tangent.
Level: High School, College, Math Education The figure shows a triangle ABC with a cevian BD. Points E, F, and O
are the incenters of triangles ABD, BCD, and ABC, respectively. If EM,
OG, and FH are perpendicular to AC, prove that DM = GH.

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