Geometry Problem 53: Tangent Circles, Angle Bisector, Typography, iPad Apps

Proposition

The figure shows a right triangle ABC with the altitude BD. Lines DE and DF are perpendicular to AB and BC, respectively, r, r1, and r2 are the inradii of the triangles ABC, AED, and DFC respectively. Prove that r1 + r2 = r.


Art and Typography of Geometry Problem 53: Tangent Circles, Angle Bisector, iPad Apps


Geometric Art using Mobile Apps

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.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

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Original problem 53.

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