MathDB
Trapezoid and areas

Source: JBMO Shortlist 2006

November 10, 2008
geometrytrapezoidgeometry proposed

Problem Statement

Let ABCD ABCD be a trapezoid inscribed in a circle C \mathcal{C} with AB∥CD AB\parallel CD, AB\equal{}2CD. Let \{Q\}\equal{}AD\cap BC and let P P be the intersection of tangents to C \mathcal{C} at B B and D D. Calculate the area of the quadrilateral ABPQ ABPQ in terms of the area of the triangle PDQ PDQ.
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