intersection point of diagonals of rectangle lies on diagonal of square
Source: 2009 Oral Moscow Geometry Olympiad grades 8-9 p2
September 19, 2020
geometrysquarerectangle
Problem Statement
A square and a rectangle of the same perimeter have a common corner. Prove that the intersection point of the diagonals of the rectangle lies on the diagonal of the square.(Yu. Blinkov)