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Inequality for a Cevian Involving the Circumradius

Let be a triangle; define , , and let be the circumcircle of .
For a point , let , , be signed areas and set , the barycentric coordinates of , so that .
Let .
Then , with equality if and only if is on .
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 Minh Trinh Xuan
"Inequality for a Cevian Involving the Circumradius "
 http://demonstrations.wolfram.com/InequalityForACevianInvolvingTheCircumradius/
 Wolfram Demonstrations Project
 Published: June 15, 2022
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