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Intersection in a Quadrilateral (Posted on 2010-08-14) Difficulty: 3 of 5
Let E and F be the midpoints of sides BC and AD respectively of convex quadrilateral ABCD and O the intersection of the diagonals AC and BD.

Prove that O lies inside quadrilateral ABEF if and only if

       Area(AOB) < Area(COD).

See The Solution Submitted by Bractals    
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  Subject Author Date
SolutionVector Approach (spoiler)Harry2010-08-18 19:27:14
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