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Problem 32. Triangle, Cevian, Incircles. Level: High School, SAT Prep, College geometry

Point D is taken on side AC of triangle ABC, the incircle E of triangle ABC touches AC at H, the incircle F of triangle ABD touches BD at L, and the incircle G of triangle BDC touches BD at K. Prove that DH = KL.
A cevian (BD) is a line segment which joins a vertex of a triangle with a point on the opposite side (or its extension).


Triangle, Cevian, Incircles


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