MathDB
area problem

Source: Taiwan 1st TST 2005, 3rd independent study, problem 2

August 12, 2005
geometrygeometry proposed

Problem Statement

Let ABCDABCD be a convex quadrilateral. Is it possible to find a point PP such that the segments drawn between PP and the midpoints of the sides of ABCDABCD divide the quadrilateral into four sections of equal area? If PP exists, is it unique?
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