MathDB
incircle

Source: Ukraine 1997 grade 9

July 18, 2009
geometrygeometry proposed

Problem Statement

The incircle of a triangle ABC ABC is tangent to its sides AB,BC,CA AB,BC,CA at M,N,K, M,N,K, respectively. A line l l through the midpoint D D of AC AC is parallel to MN MN and intersects the lines BC BC and BD BD at T T and S S, respectively. Prove that TC\equal{}KD\equal{}AS.
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