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


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


	Contributed by: Jay Warendorff

This Demonstration is based on:

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

Altitude (Wolfram MathWorld)

Circumradius (Wolfram MathWorld)

Inradius (Wolfram MathWorld)

Semiperimeter (Wolfram MathWorld)

Triangle (Wolfram MathWorld)

"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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