9887
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Drag Locators
Gamepad Controls
SNAPSHOTS
DETAILS
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Hadwiger-Finsler Inequality
Jay Warendorff
The Erdös-Mordell Inequality
Jay Warendorff
Triangle Altitudes and Inradius
Jay Warendorff
Three Equal Segments from the Altitudes of a Triangle
Jaime Rangel-Mondragon
Circumcircles of Two Midpoints and an Altitude
Jaime Rangel-Mondragon
Bisecting the Area and Perimeter of a Triangle
Jaime Rangel-Mondragon
Weitzenböck's Inequality
Jay Warendorff
Triangle Calculator
Ed Pegg Jr
Triangle Interior
Ed Pegg Jr
Graphing Systems of Inequalities
Tori Thomas and Amber Glon
Related Topics
Analytic Geometry
Inequalities
Mathematics Problems
Plane Geometry
Triangles
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+