The figure shows a circle 1 inscribed in a square ABCD of area S. Points E, F, G, and H are the tangency point. M is the point of intersection of DF and AG and N is de point of intersection of DF and circle 1. If S₁ is the area of triangle GMN, prove that S = 40S₁. Post a comment.

See Also:

Proposed Problem 372.
Circles, Common Internal and External Tangent, Angles.

Proposed Problem 370.
Triangle with squares, Circumcircles, Tangent circles.

Proposed Problem 369.
Intersecting circles, Chord, Center, Angle, Congruence.