Geometry Problems, Online Education

Geometry Problem 159: The Fascinating Relationship between Circumradius and Distances from Circumcenter and Excenters of a Triangle. Level: High School, College, Mathematics Education

Prove that the sum of the squares of the distances from the circumcenter to the incenter and the three excenters of a triangle is equal to 12 times the square of the circumradius.

View or post a solution
 

Triangle distance centers
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 151-160 | Wolfram Demonstrations Project | by Antonio Gutierrez

View or post a solution