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With two angles right

Source: Russia 1995

December 24, 2005
geometrytrapezoidvectorgeometry proposed

Problem Statement

Let a quardilateral ABCDABCD with AB=ADAB=AD and B^=D^=90\widehat B=\widehat D=90. At CDCD we take point EE and at BCBC we take point ZZ such that AE⊥DZAE\bot DZ. Prove that AZ⊥BEAZ\bot BE
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