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
,
and (2) prove that
![Trapezoid proof 2](p163_trapezoid_proof_2.gif)
View or post a solution.
See also:
Artwork
of Problem 163.
![Trapezoid, Triangles, Area](p163_trapezoid_triangle.gif)
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