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The Triangles Cut Off by the Sides of the Orthic Triangle

Let ABC be a triangle. The triangle formed by the endpoints of the altitudes is called the orthic triangle of ABC.
The triangles cut off by the sides of the orthic triangle are similar to the original triangle.

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See theorem 184 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 97.

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"The Triangles Cut Off by the Sides of the Orthic Triangle" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheTrianglesCutOffByTheSidesOfTheOrthicTriangle/
Contributed by: Jay Warendorff
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Related Curriculum Standards

US Common Core State Standards, Mathematics