ABCD is a convex quadrilateral for which AB is the longest side. Points M and N are located on
sides AB and BC respectively, so that each of the segments AN and CM divides the quadrilateral
into two parts of equal area. Prove that the segment MN bisects the diagonal BD.
sides AB and BC respectively, so that each of the segments AN and CM divides the quadrilateral
into two parts of equal area. Prove that the segment MN bisects the diagonal BD.
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