Mathematics Homework Solutions
#14423
Proof 1/r = 1/a +1/b + 1/c Incircle
Let r be the radius of the incircle of triangle ABC, and a, b, c be the radii of the excircles opposite vertices A,B, and C respectively. Write a proof illustrating the fact that 1/r = 1/a +1/b + 1/c. Please do not just direct me to a web page. I would like a detailed breakdown step by step on how this is done. Thanks much!
A relationship between an incircle and excircles is proven using tangential functions.
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