MathDB
Turkey EGMO TST 2017 P4

Source: Turkey EGMO TST 2017 P4

June 1, 2017
TurkeyEGMOTSTgeometrycontest problem

Problem Statement

On the inside of the triangle ABCABC a point PP is chosen with ∠BAP=∠CAP\angle BAP = \angle CAP. If ∣AB∣⋅∣CP∣=∣AC∣⋅∣BP∣=∣BC∣⋅∣AP∣\left | AB \right |\cdot \left | CP \right |= \left | AC \right |\cdot \left | BP \right |= \left | BC \right |\cdot \left | AP \right | , find all possible values of the angle ∠ABP\angle ABP.
Back to ProblemsView on AoPS