10809
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Product of the Distances of the Incenter to the Vertices
Let ABC be a triangle and I the incenter. Let
be the circumradius and
the inradius. Then
.
Contributed by:
Jay Warendorff
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
See problem 84 in N. Altshiller-Court,
College Geometry
, Mineola, NY: Dover, 2007 p. 121.
RELATED LINKS
Circumcenter
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Product of the Distances of the Incenter to the Vertices
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheProductOfTheDistancesOfTheIncenterToTheVertices/
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 Distances to the Incenter and Excenters from the Circumcenter
Jay Warendorff
The Sum of the Distances from the Orthocenter to the Vertices
Jay Warendorff
The Sum of the Squares of the Distances from the Vertices to the Orthocenter
Jay Warendorff
The Line through the Incenter and Circumcenter
Jay Warendorff
Collinearity of an Incenter and Two Circumcenters
Jay Warendorff
Collinearity of an Orthocenter, the Incenter, and the Circumcenter
Jay Warendorff
Distances from the Centroid
Jay Warendorff
Intersection of an Altitude and a Line through the Incenter
Jay Warendorff
Division of an Angle Bisector by the Incenter
Jay Warendorff
The Product of the Inradius and Semiperimeter of a Triangle
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+