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Perpendicular angle bisectors

Source: Tuymaada 2015, Day 1, Problem 2, Senior League

July 10, 2017
geometryangle bisector

Problem Statement

DD is midpoint of ACAC for △ABC\triangle ABC. Bisectors of ∠ACB,∠ABD\angle ACB,\angle ABD are perpendicular. Find max value for ∠BAC\angle BAC
(S. Berlov)
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