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Let

be the exradius of triangle

for the excircle opposite

, and let

and

be the circumradius and inradius of

.

Then

,

and similarly for

and

, the other two exradii.

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Contributed by: Minh Trinh Xuan

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Excircles (Wolfram MathWorld)

The Sum of the Trilinear Coordinates of a Point (Wolfram Demonstrations Project)

Minh Trinh Xuan

"Inequalities for an Exradius of a Triangle"
http://demonstrations.wolfram.com/InequalitiesForAnExradiusOfATriangle/
Wolfram Demonstrations Project
Published: May 27, 2022

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