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Problem 357. Square, Exterior point, Triangles, Area
Level: High School, College, SAT Prep. The figure shows a square ABCD of area S with an exterior point P. If S1, S2, S3, and S4, are the areas of triangles PAB, PBC, PCD, and PAD, respectively, prove that S1 + S3 = S4 - S2 = S/2.
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