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find area of a triangle created by diagonals of a trapezoid

Source: May Olympiad (Olimpiada de Mayo) 2006 L2

September 12, 2018
geometrytrapezoidareas

Problem Statement

Let ABCDABCD be a trapezoid of bases ABAB and CDCD . Let OO be the intersection point of the diagonals ACAC and BDBD. If the area of the triangle ABCABC is 150150 and the area of the triangle ACDACD is 120120, calculate the area of the triangle BCOBCO.
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