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Geometry Problem 34 with Solution: Right Triangle, Incircles, Inradius, Cevian, Tangency Points, Congruence


The figure shows a right triangle ABC, r is the inradius. Point D is taken on side AC, the incircles of triangles ABC, ABD and BDC  touches the sides at E, F, G, H, J, K, L, M, and N, respectively. Prove that DN = GK = EH and r = BJ - DL


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Home | Geometry | Search | Problems | Open Problems | 10 Problems | 31-40 | Circle Tangent Line | Email | By Antonio Gutierrez
Last updated: Sep 19, 2014

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