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Online Math: Geometry Problem 1188: Triangle, Parallelogram, Parallel Lines, Trapezoid, Area. Level: School. College. Tiled background image: Moon Temple, Huayna Picchu.

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The figure below shows a triangle ABC and the parallelograms ABDE and BCFG. ED and FG extended meet at H. AJ and CK are parallel to BG (J on DE, K on FG). JK cuts AB and BC at L and M, respectively. If S is the yellow shaded area, and S1, S2, S3, and S4 are the blue shaded areas, prove that S = S1 + S2 + S3 + S4

  

Geometry Problem 1188: Triangle, Parallelogram, Parallel Lines, Trapezoid, Area.
 
 

 

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Last updated: Feb 15, 2016