Question 164
Suppose that three points $A$, $B$, $C$ lie on the circumference of a circle $\Gamma$. Let $P$ be the point of intersection of the lines tangent to $\Gamma$ at $B$ and $C$. Suppose that the lines $AB$ and $CP$ are parallel, and that $AB = 3$ and $BP = 4$. Find the length of the line segment $BC$. Here we represent the length of the line segment $XY$ also by $XY$.
