9827
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Contact Triangle and Two Other Subtriangles
Let ABC be a triangle. Let A', B', and C' be the vertices of the contact triangle (the triangle with vertices where the incircle touches the sides of ABC). If
,
, and
, 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 110. Contact Triangle, Area, Incircle
.
RELATED LINKS
Contact Triangle
(
Wolfram
MathWorld
)
Incircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Contact Triangle and Two Other Subtriangles
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheContactTriangleAndTwoOtherSubtriangles/
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
Contact Triangles of a Triangle
Jay Warendorff
The Area of the Contact Triangle
Jay Warendorff
A Triangle and an External Contact Triangle
Jay Warendorff
A Relation between the Contact Triangles of a Triangle
Jay Warendorff
Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Jay Warendorff
Subtriangles Formed by Concurrent Lines Parallel to the Sides of a Triangle
Jay Warendorff
Dividing a Triangle by Lines Parallel to Two Sides
Jay Warendorff
The Extouch and Intouch Triangles of a Triangle
Jay Warendorff
The Two Triangles Theorem
Chris Boucher
Cyclic Quadrilaterals, Subtriangles, and Incenters
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+