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Easy conditional geometry

Source: Caucasus MO 2024, Seniors P2

March 15, 2024
geometry

Problem Statement

In an acute-angled triangle ABCABC let BLBL be the bisector, and let BKBK be the altitude. Let the lines BLBL and BKBK meet the circumcircle of ABCABC again at WW and TT, respectively. Given that BC=BWBC = BW, prove that TL⊥BCTL \perp BC.
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