The Product of the Distances of the Incenter to the Vertices

Initializing live version

Let ABC be a triangle and I the incenter. Let be the circumradius and the inradius. Then .

Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

See problem 84 in N. Altshiller-Court, College Geometry, Mineola, NY: Dover, 2007 p. 121.


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