Wolfram Demonstrations Project

12,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

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

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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 (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

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

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send