Question 49
On the line containing diameter $AB$ of a circle, a point $P$ is chosen outside of this circle, with $P$ closer to $A$ than $B$. One of the two tangent lines through $P$ is drawn. Let $D$ and $E$ be two points on the tangent line such that $AD$ and $BE$ are perpendicular to it. If $AB = 8$ and $DE = 6$, find the area of triangle $BEP$.
