MathDB
Spain Mathematical Olympiad 2007, Problem 3

Source: 2007 Spain Mathematical Olympiad

June 14, 2017
geometry

Problem Statement

OO is the circumcenter of triangle ABCABC. The bisector from AA intersects the opposite side in point PP. Prove that the following is satisfied: AP2+OA2āˆ’OP2=bc.AP^2 + OA^2 - OP^2 = bc.
Back to ProblemsView on AoPS