Category:Definitions/Excircles of Triangles

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This category contains definitions related to Excircles of Triangles.
Related results can be found in Category: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 $a$.


Excircle-of-Triangle.png