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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The triangles cut off by the sides of the orthic triangle are similar to the original triangle.

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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.



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