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