MathDB
Intersections with Incircle

Source:

September 20, 2006
geometryreflectionincentercircumcircleradical axis

Problem Statement

Let ABCABC be a triangle, and let DD, EE, FF be the points of contact of its incircle ω\omega with its sides BCBC, CACA, ABAB, respectively. Let KK be the point of intersection of the line ADAD with the incircle ω\omega different from DD, and let MM be the point of intersection of the line EFEF with the line perpendicular to ADAD passing through KK. Prove that AMAM is parallel to BCBC.
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