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The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle

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The ratio of a side of a triangle to the corresponding side of the orthic triangle is equal to the ratio of the circumradius to the distance from the side to the circumcenter. For example, .

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

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See theorem 197 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 100.

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