The Triangles Cut Off by the Sides of the Orthic Triangle

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Let ABC be a triangle. The triangle formed by the endpoints of the altitudes is called the orthic triangle of ABC.
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Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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See theorem 184 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 97.
Permanent Citation
"The Triangles Cut Off by the Sides of the Orthic Triangle"
http://demonstrations.wolfram.com/TheTrianglesCutOffByTheSidesOfTheOrthicTriangle/
Wolfram Demonstrations Project
Published: March 7 2011