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Geometry Mathley 9.2 collinear

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June 7, 2020
collineargeometryRectangles

Problem Statement

Let ABDE,BCFZABDE, BCFZ and CAKLCAKL be three arbitrary rectangles constructed outside a triangle ABCABC. Let EFEF meet ZKZK at MM, and NN be the intersection of the lines through F,ZF,Z perpendicular to FL,ZDFL,ZD. Prove that A,M,NA,M,N are collinear.
Kostas Vittas
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