MathDB
Problem 2

Source: Paraguayan Mathematical Olympiad 2013

July 25, 2015
geometry

Problem Statement

Let ABCABC be a triangle with area 99, and let MM and NN be the midpoints of sides ABAB and ACAC, respectively. Let PP be the point in side BCBC such that PC=13BCPC = \frac{1}{3}BC. Let OO be the intersection point between PNPN and CMCM. Find the area of the quadrilateral BPOMBPOM.
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