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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.

Triangle, Cevian, Incircles, Tangent, Congruence


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Geometry problems 541-550