WOLFRAM|DEMONSTRATIONS PROJECT

The Distance from the Circumcenter to an Excenter

OE

≈

8.36

R

≈

4.81

r

≈

4.85

2

OE

≈

69.89

2

R

+

2

R

r

≈

69.89

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

R

be the circumradius and

r

the exradius. Then

2

OE

=

2

R

+2Rr

.