Geometry Problems, Online Education

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

 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.
 
 


 

  Hints: See Geometry Help
 

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

View or Post a solution to the problem 51