Home | Proposed Problems | Random | 1, 1020, 30, 40, 50 | Previous, Next

 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 | Problems | Email

Last updated: July 23, 2007