MathDB
0122 geometry 1st edition Round 2 p2

Source:

May 9, 2021
geometry1st edition

Problem Statement

In a triangle △ABC\vartriangle ABC, ∠B=2∠C\angle B = 2\angle C. Let PP and QQ be points on the perpendicular bisector of segment BCBC such that rays APAP and AQAQ trisect ∠A\angle A. Prove that PQPQ is smaller than ABAB if and only if ∠B\angle B is obtuse.
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