The Product of the Inradius and Three Exradii
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Let ABC be a triangle with area and let be its inradius. Let , , and be the exradii of the excircles opposite A, B, and C, respectively. Then .
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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"The Product of the Inradius and Three Exradii"
http://demonstrations.wolfram.com/TheProductOfTheInradiusAndThreeExradii/
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Published: March 7 2011