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Turkey Junior Olympiad 2002, Part II - P1

Source:

January 18, 2013
geometrytrapezoidparallelogram

Problem Statement

Let ABCDABCD be a trapezoid such that ∣AC∣=8|AC|=8, ∣BD∣=6|BD|=6, and AD∥BCAD \parallel BC. Let PP and SS be the midpoints of [AD][AD] and [BC][BC], respectively. If ∣PS∣=5|PS|=5, find the area of the trapezoid ABCDABCD.
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