4 equal areas from an interior P of a convex quadrilateral
Source: Nordic Mathematical Contest 1997 #2
October 4, 2017
geometryarea of trianglediagonalsareaquadrilateral
Problem Statement
Let be a convex quadrilateral. We assume that there exists a point inside the quadrilateral such that
the areas of the triangles , and are equal. Show that at least one of the diagonals of the
quadrilateral bisects the other diagonal.