Geometry concurrent
Source: Kazakhstan NMO 2015 (second round) P3
January 19, 2015
geometryrectanglegeometric transformationgeometry proposed
Problem Statement
A rectangle is said to be in a triangle if all its vertices lie on the sides of the triangle. Prove that the locus of the centers (the meeting points of the diagonals) of all inscribed in an acute-angled triangle rectangles are three concurrent unclosed segments.