The Product of the Inradius and Semiperimeter of a Triangle

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Let ABC be a triangle, its inradius, and its semiperimeter. Then .

Contributed by: Jay Warendorff (March 2011)
After work by: Alexander Bogomolny
Open content licensed under CC BY-NC-SA


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A. Bogomolny, "Relations between Various Elements of a Triangle," Interactive Mathematics Miscellany and Puzzles.



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