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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
.
Contributed by:
Jay Warendorff
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This Demonstration is based on:
"Problem 11330,"
The American Mathematical Monthly
,
114
(10), 2007 p. 925.
RELATED LINKS
Altitude
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
Semiperimeter
(
Wolfram
MathWorld
)
Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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