Wolfram Research

Mathematica MathWorld Wolfram Science More »

Area of a Hexagon Formed by the Vertices and Altitude Extensions of a Triangle


	Let ABC be an acute triangle with area . Extend the altitudes of ABC to meet the circumcircle at A', B', and C' corresponding to A, B, and C, respectively. Let the hexagon AC'BA'CB' have area . Then .


	Contributed by: Jay Warendorff

See Exercise 283(d) in R. A. Johnson, Advanced Euclidean Geometry, Mineola, NY: Dover, 2007 p. 179.

Altitude (Wolfram MathWorld)

Circumcircle (Wolfram MathWorld)

Hexagon (Wolfram MathWorld)

Polygon Area (Wolfram MathWorld)

"Area of a Hexagon Formed by the Vertices and Altitude Extensions of a Triangle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AreaOfAHexagonFormedByTheVerticesAndAltitudeExtensionsOfATri/

Contributed by: Jay Warendorff

Mathematica 7 Just Released--Get Mathematica Player 7 Free--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+