MathDB
Four triangles of equal area

Source: Lithuanian TST 2006

April 21, 2006
geometrygeometry unsolved

Problem Statement

Inside a convex quadrilateral ABCDABCD there is a point PP such that the triangles PAB,PBC,PCD,PDAPAB, PBC, PCD, PDA have equal areas. Prove that the area of ABCDABCD is bisected by one of the diagonals.
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