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Geometry Problem 163. Trapezoid, Diagonals, Triangles, Areas

In the figure below, ABCD is a trapezoid of area S with AD parallel to BC and E the point of intersection of the diagonals AC and BD. If S1, S2, S3, and S4 are the areas of triangles BEC, AED, ABE, and CED respectively, (1) prove that Trapezoid proof 1, and (2) prove that Trapezoid proof 2
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Trapezoid, Triangles, Area

 

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