MathDB
Vietnam NMO 1990_4

Source:

October 26, 2008
geometrycircumcircleanalytic geometryconicshyperbolaperpendicular bisectorgeometry proposed

Problem Statement

A triangle ABC ABC is given in the plane. Let M M be a point inside the triangle and A′ A', B′ B', C′ C' be its projections on the sides BC BC, CA CA, AB AB, respectively. Find the locus of M M for which MA \cdot MA' \equal{} MB \cdot MB' \equal{} MC \cdot MC'.
Back to ProblemsView on AoPS