MathDB
inequality

Source: Ireland 2005

July 6, 2009
inequalitiesgeometryincentergeometry unsolved

Problem Statement

Let X X be a point on the side AB AB of a triangle ABC ABC, different from A A and B B. Let P P and Q Q be the incenters of the triangles ACX ACX and BCX BCX respectively, and let M M be the midpoint of PQ PQ. Prove that: MC>MX MC>MX.
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