Home Geometry Problems All Problems Visual Index 441-450 Solution / comment        By Antonio Gutierrez
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Problem 441: Quadrilateral, Triangle, Area, Proportion, Measurement, Similarity

The figure shows a quadrilateral ABCD with Formula conclusion to prove. Lines BF and CE intersect at G. Lines AF and DE intersect at H. S is the area of quadrilateral EGFH, S1, and S2 are the areas of triangles BCG and ADH, prove that S = S1 + S2.

 

Quadrilateral and triangle area