Category:Excircles of Triangles

This category contains results about Excircles of Triangles.
Definitions specific to this category can be found in Definitions/Excircles of Triangles.

Let $\triangle ABC$ be a triangle whose sides are $a$, $b$ and $c$ opposite vertices $A$, $B$ and $C$ respectively.

Let sides $b$ and $c$ be produced beyond the vertices $C$ and $B$ respectively.

Let a circle be constructed tangent to both of these extensions to $b$ and $c$ lines and also to $a$.

The circle so constructed is called the excircle of $\triangle ABC$ with respect to $a$.