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Geometric Artwork of Problem 794. Right Triangle and Circles. PicSketch for iPad

Geometric Art of Problem 794. Right Triangle and Circles. iPad apps.

The figure above shows a right triangle ABC with the incenter I and the altitude BH. D and E are the incenters of triangles AHB and BHC, respectively. Prove that the incircle of triangle ABC and the circumcircles of triangles BDE and DEI are congruent. See also: Problem 794.


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