11348
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Distances to the Incenter and Excenters from the Circumcenter
Let ABC be a triangle with circumradius
, circumcenter O, and incenter I. Let A', B', and C' be the radii of the excircles opposite A, B, and C, respectively. Then
.
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
THINGS TO TRY
Drag Locators
SNAPSHOTS
DETAILS
The statement of the theorem is in
Problem 159. Distances from the Circumcenter to the Incenter and the Excenters
.
RELATED LINKS
Circumcircle
(
Wolfram
MathWorld
)
Circumradius
(
Wolfram
MathWorld
)
Excircles
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
Inradius
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Distances to the Incenter and Excenters from the Circumcenter
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheDistancesToTheIncenterAndExcentersFromTheCircumcenter/
Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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 Distance from the Circumcenter to an Excenter
Jay Warendorff
The Line through the Incenter and Circumcenter
Jay Warendorff
The Product of the Distances of the Incenter to the Vertices
Jay Warendorff
Collinearity of an Orthocenter, the Incenter, and the Circumcenter
Jay Warendorff
Collinearity of an Incenter and Two Circumcenters
Jay Warendorff
Distances from the Centroid
Jay Warendorff
The Sum of the Distances from the Orthocenter to the Vertices
Jay Warendorff
Concyclic Points from Reflections of the Circumcenter about the Altitudes
Jay Warendorff
A Concurrency from the Reflection of the Incircle's Contact Points across the Incenter
Jay Warendorff
A Concurrency from the Midpoints of Line Segments through the Circumcenter
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+