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 Problem 51. Fagnano's Triangle Problem. Level: High School, SAT Prep, College

In a given acute triangle ABC, prove that the inscribed triangle with the minimum perimeter is the orthic triangle DEF.

Orthic triangle: The triangle whose vertices are the feet of the altitudes of a given triangle.
 
 


 

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Home | Geometry | Altitude | Problems | Open Problems | 10 Problems | 51-60 | Semiperimeter | Orthic Triangle | Email | by Antonio Gutierrez

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