The Distance from the Circumcenter to an Excenter

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Let ABC be a triangle with circumcenter O and let E be the excenter of the excircle opposite A. Let be the circumradius and the exradius. Then .

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


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The statement of the theorem is in Problem 157. Distance from the Circumcenter to the Excenter.



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