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2013 ToT Spring Senior O p2 squares on sides of right triangle

Source:

March 5, 2020
geometrySquaresright angleright triangle

Problem Statement

Let CC be a right angle in triangle ABCABC. On legs ACAC andBCBC the squares ACKL,BCMNACKL, BCMN are constructed outside of triangle. If CECE is an altitude of the triangle prove that LEMLEM is a right angle.
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