Definition:Excircle of Triangle

Definition
Given a triangle, extend two sides in the direction opposite their common vertex.

The circle tangent to both of these lines and to the third side of the triangle is called an excircle.


 * Excircle-of-Triangle.png

There are three excircles for every triangle.

Also known as
An excircle is also sometimes referred to as an escribed circle.

Also see

 * Definition:Incircle of Triangle
 * Definition:Circumcircle of Triangle