The Product of the Distances of the Incenter to the Vertices
Let ABC be a triangle and I the incenter. Let be the circumradius and the inradius. Then .
See problem 84 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 121.
"The Product of the Distances of the Incenter to the Vertices"
Wolfram Demonstrations Project
Published: March 7 2011