# The Distances to the Incenter and Excenters from the Circumcenter

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Let ABC be a triangle with circumradius , circumcenter O, and incenter I. Let A', B', and C' be the radii of the excircles opposite A, B, and C, respectively. Then .

Contributed by: Jay Warendorff (March 2011)

After work by: Antonio Gutierrez

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The statement of the theorem is in Problem 159. Distances from the Circumcenter to the Incenter and the Excenters.

## Permanent Citation