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 O_{1} (radius r_{1}) is inscribed in
quadrilateral AFOE and circle O_{2} (radius r_{2}) is inscribed in
quadrilateral CDOE. Prove that r^{2} = 2r_{1}.r_{2}.

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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See also:

Original problem
1103.

Geometry Problems

Ten problems: 1101-1110

Geometric Art

Geometry for Kids

iPad

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