Distance from Vertex of Triangle to Orthocenter

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

Let $H$ be the orthocenter of $\triangle ABC$.

Then:
 * $AH = 2 R \cos A$

where $R$ denotes the circumradius of $\triangle ABC$.