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Geometry Problem 32 with Solution: Triangle, Cevian, Incircles, Congruence, Tangency Points.

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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
 


See solution below

 

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Last updated: Sep 19, 2014

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Geometry Problem 32 Solution(s)