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<BPC=? equilateral ABC, PA ^2 = PB ^2 + PC ^2

Source: OIFMAT II 2012 day 1 p3 - Chilean Math Forum FMAT Olympiad https://artofproblemsolving.com/community/c2484778_oifmat

September 27, 2021
Equilateralgeometryangles

Problem Statement

In the interior of an equilateral triangle ABC ABC a point P P is chosen such that PA2=PB2+PC2 PA ^2 = PB ^2 + PC ^2 . Find the measure of ∠BPC \angle BPC .
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