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.
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 22.