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Geometry Problem 27 with Solution: Right triangle, Altitude, Incenters, Inradius, Perpendicular Lines, 45 Degrees.

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In triangle ABC, angle B is a right angle. O is the incenter of triangle ABC, From O parallels FG and HM are drawn to AB, and BC. r1, and r2, are the inradii of the triangles AHM, and FGC respectively, the points D and E are points of tangency. Prove that . See also: Artwork of Problem 27.
 


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Home | Geometry | Search | Problems | 21-30 | Right triangle, Altitude and Incircle | Email | by Antonio Gutierrez
Last updated: Sep 19, 2014

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Geometry Problem 27 Solution(s)