Home Geometry Problems All Problems 351-360 Area of a Triangle View or post a solution 
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 = S2 - S4 = S/2. 

Square, Exterior point, Triangle, Area 

 

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