MathDB

3

Part of OIFMAT II 2012

Problems(1)

<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

9/27/2021
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 .
Equilateralgeometryangles