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2012 ToT Fall Junior O p4 KL bisects height of parallelogram

Source:

March 22, 2020
parallelogrambisects segmentgeometrycircle

Problem Statement

A circle touches sides AB,BC,CDAB, BC, CD of a parallelogram ABCDABCD at points K,L,MK, L, M respectively. Prove that the line KLKL bisects the height of the parallelogram drawn from the vertex CC to ABAB.
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