MathDB
Geometry concurrent

Source: Kazakhstan NMO 2015 (second round) P3

January 19, 2015
geometryrectanglegeometric transformationgeometry proposed

Problem Statement

A rectangle is said to be inscribed inscribed 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.