MathDB
Greece TST 1998 Q2

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March 11, 2013
geometrytrapezoidgeometry unsolved

Problem Statement

Let ABCDABCD be a trapezoid with parallel sides AB,CDAB, CD. M,NM,N lie on lines AD,BCAD, BC respectively such that MN∣∣ABMN || AB. Prove that DC⋅MA+AB⋅MD=MN⋅ADDC \cdot MA + AB \cdot MD = MN \cdot AD.
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