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 Problem 178. Quadrilateral, Trisection of sides, Area.

In the figure below, ABCD is a quadrilateral of area S with the points E, F, G, H, M, N, P, and Q trisecting the sides. Lines EN, FM, GQ and HP determine the shaded quadrilateral of area S1. Prove that S1 = S/9. Post a comment or solution.
 

Quadrilateral with trisection of sides
 
 
 

 

 

Geometry problem 178 Quadrilateral area

 

 

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