MathDB
Trapezoid and lengths

Source: JBMO Shortlist 2006

November 12, 2008
geometrytrapezoidgeometry proposed

Problem Statement

Let ABCD ABCD be a trapezoid with AB∥CD,AB>CD AB\parallel CD,AB>CD and \angle{A} \plus{} \angle{B} \equal{} 90^\circ. Prove that the distance between the midpoints of the bases is equal to the semidifference of the bases.
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