Wolfram Research

Mathematica MathWorld Wolfram Science More »

Another Relation between the Areas of Triangles Associated with an Excircle


	Let ABC be a triangle. Let D and E be the points of contact of the incircle of ABC with AB and AC. Let J be the excenter of the excircle opposite A and let G and F be the intersections of DJ and EJ with BC. Let , , and be the areas of GJF, DBG, and ECF, respectively. Then .


	Contributed by: Jay Warendorff After work by: Antonio Gutierrez

The statement of the theorem is in Problem 188. Area of Triangles, Incenter, Excenter.

Excircles (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

"Another Relation between the Areas of Triangles Associated with an Excircle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AnotherRelationBetweenTheAreasOfTrianglesAssociatedWithAnExc/

Contributed by: Jay Warendorff

After work by: Antonio Gutierrez

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Related Topics

Browse all topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

Powered by Wolfram Mathematica

Give us your feedback

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	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 »

© 2009 Wolfram Demonstrations Project & Contributors

Wolfram Research

Site Index

RSS

Atom

Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+