10230
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Sum of the Exradii Minus the Inradius
Let ABC be a triangle with circumradius
and inradius
. Let
,
, and
be the exradii of the excircles opposite A, B, and C, respectively. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Exradius
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Sum of the Exradii Minus the Inradius
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSumOfTheExradiiMinusTheInradius/
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
The Product of the Inradius and Three Exradii
Jay Warendorff
The Sum of the Reciprocals of the Exradii
Jay Warendorff
Triangle Altitudes and Inradius
Jay Warendorff
The Product of the Inradius and Semiperimeter of a Triangle
Jay Warendorff
A Triangle Inequality Involving the Altitudes, Semiperimeter, Inradius, and Circumradius
Jay Warendorff
The Sum of the Distances from the Orthocenter to the Vertices
Jay Warendorff
The Sum of the Circumradii of Three Subtriangles
Jay Warendorff
The Sum of the Perimeters of Three Subtriangles
Jay Warendorff
The Sum of the Squares of the Distances from the Vertices to the Orthocenter
Jay Warendorff
The Sum of the Square Roots of the Areas of Three Subtriangles
Jay Warendorff
Related Topics
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+