A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius

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If a triangle has altitudes , , and , semiperimeter , inradius , and circumradius , then .

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



This Demonstration is based on:

"Problem 11330," The American Mathematical Monthly, 114(10), 2007 p. 925.

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