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 Problem 140. Triangle, Excircle, Tangent, Semiperimeter.

In the figure below, given a triangle ABC, the excircle corresponding to BC is tangent to BC and tangent to the extensions of AB and AC at points D and E respectively. If p is the semiperimeter of triangle ABC, prove that p = AD = AE. Post a comment or solution.
 

Elearning 140 Excircle, tangent, semiperimeter

 

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