Wolfram Research  Mathematica    MathWorld    Wolfram Science    More »    Wolfram Web Resources
HOME
TOPICS
LATEST
ABOUT
FAQS
PARTICIPATE
AUTHORING AREA

A Relation between the Contact Triangles of a Triangle
Extending two sides in a triangle, construct the circle tangent to those sides and the other side of the triangle. The resulting circle is called an excircle.
A contact triangle is a triangle formed from the points of tangency between the sides of a triangle and its incircle or the extended sides of the triangle and one of its excircles.
Let ABC be a triangle. Let be the area of the internal contact triangle and , , and be the areas of the external contact triangles. Then .



The statement of the theorem is in Problem 85. Contact Triangles Areas, Incircle, Excircle.


"A Relation between the Contact Triangles of a Triangle" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ARelationBetweenTheContactTrianglesOfATriangle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez
comments
Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now
Related Topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »
Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+