MathDB
MNP is congruent to ABC

Source: Cono sur Olympiad 1997 P6

October 11, 2017
geometrygeometry unsolved

Problem Statement

Let ABCABC be a acute-angle triangle and XX be point in the plane of this triangle. Let M,N,PM,N,P be the orthogonal projections of XX in the lines that contains the altitudes of this triangle Determine the positions of the point XX such that the triangle MNPMNP is congruent to ABCABC
Back to ProblemsView on AoPS