MathDB
South African converse - Portuguese MO, Problem 2, 2009

Source:

August 29, 2010
geometryperimeterpower of a pointradical axisgeometry proposed

Problem Statement

Points NN and MM are on the sides CDCD and BCBC of square ABCDABCD, respectively. The perimeter of triangle MCNMCN is equal to the double of the length of the square's side. Find MAN\angle MAN.