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The Area of the Excentral Triangle

Let be the area of the triangle formed by the excenters of a triangle with perimeter and circumradius . Then .

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See Theorem 233 in N. Altshiller-Court, College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle, Mineola, NY: Dover, 2007 p. 113.

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"The Area of the Excentral Triangle" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheAreaOfTheExcentralTriangle/
Contributed by: Jay Warendorff




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