Problem 371: Square, Inscribed circle, Triangle, Area

Online Geometry

The figure shows a circle O inscribed in a square ABCD of area S. Points E, F, G, and H are the tangency points. M is the point of intersection of DF and AG and N is de point of intersection of DF and circle O. If S1 is the area of triangle GMN, prove that S = 40S1

Square, triangle, inscribed circle, area

  

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Typography of problem 371.

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