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The Sum of the Reciprocals of the Exradii


	Let ABC be a triangle with inradius . Let , , and be the exradii of the excircles opposite A, B, and C, respectively. Then .


	Contributed by: Jay Warendorff

Excircles (Wolfram MathWorld)

Exradius (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Inradius (Wolfram MathWorld)

"The Sum of the Reciprocals of the Exradii" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSumOfTheReciprocalsOfTheExradii/

Contributed by: Jay Warendorff

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