In a right triangle ABC (see the figure below) incircle O (radius r) is tangent to BC, AC, and AB at D, E, and F, respectively. Circle O1 (radius r1) is inscribed in quadrilateral AFOE and circle O2 (radius r2) is inscribed in quadrilateral CDOE. Prove that r2 = 2r1.r2.
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.
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Original problem 1103.