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Sum the Points of Tangency (Posted on 2008-01-16) Difficulty: 3 of 5
Let ABC be an arbitrary triangle with side lengths a = |BC|, b = |CA|, and c = |AB|.

Let X, Y, and Z be the points of tangency of the incircle with the sides BC, CA, and AB respectively.

Let X', Y', and Z' be the points of tangency of the excircles with "sides" BC, CA, and AB respectively.

What is the value of |XX'| + |YY'| + |ZZ'| in terms of a, b, and c?
 

See The Solution Submitted by Bractals    
Rating: 1.0000 (1 votes)

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  Subject Author Date
Solutioncomplete solutionDaniel2008-01-18 02:26:11
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