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Incircle and bisector

Source: Tuymaada 2015, Day 1, Problem 7, Junior League

July 10, 2017
geometryincenter

Problem Statement

CLCL is bisector of ∠C\angle C of ABCABC and intersect circumcircle at KK. II - incenter of ABCABC. IL=LKIL=LK. Prove, that CI=IKCI=IK
D. Shiryaev
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