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ABCD is a trapezoid, areas related (Chile 1997 P3)

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May 27, 2019
geometrytrapezoidareas

Problem Statement

Let ABCD ABCD be a quadrilateral, whose diagonals intersect at O O . The triangles △AOB \triangle AOB , △BOC \triangle BOC , △COD \triangle COD have areas 1,2,41, 2, 4, respectively. Find the area of △AOD \triangle AOD and prove that ABCD ABCD is a trapezoid.
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