Let $ABC$ be a right triangle, right at $B$, and let $M$ be the midpoint of the side $BC$. Let $P$ be the point on the bisector of the angle $\angle BAC$ such that $PM$ is perpendicular to $BC$ (with $P$ being outside the triangle $ABC$). Determine the area of triangle $ABC$ if $PM = 1$ and $MC = 5$.

Let's think step by step and output the final answer within \boxed{}.
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