The Area of the Excentral Triangle

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

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA


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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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