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An Excircle Inequality

For a triangle , let , , be the side lengths; be the incircle; be the circumcircle; and be the excircle opposite .
Then ,
with equality if and only if is an isosceles triangle to vertex A.
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 Minh Trinh Xuan
"An Excircle Inequality"
 http://demonstrations.wolfram.com/AnExcircleInequality/
 Wolfram Demonstrations Project
 Published: June 15, 2022
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