Let $O$ and $H$ be the circumcenter and orthocenter of triangle $ABC$, respectively. Let $a$, $b$, and $c$ denote the side lengths as in the

Let O and H be the circumcenter and orthocenter of triangle ABC, respectively. Let a, b, c and  denote the side lengths as in the picture below:

Find OH if the circumradius is equal to 7 and a^2 + b^2 + c^2 = 432.