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

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

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This Demonstration is based on:
"Problem 11330," The American Mathematical Monthly, 114(10), 2007 p. 925.

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"A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ATriangleInequalityInvolvingTheAltitudesSemiperimeterInradiu/
Contributed by: Jay Warendorff




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