Question 4
A circle with diameter $AB$ intersects a circle with centre $A$ at $C$ and $D$. $E$ is the point of intersection of $AB$ and $CD$. $P$ is a point on the second circle such that $PC=16$ cm, $PD=28$ cm and $PE=14$ cm. Find the length, in cm, of $PB$.

Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.

Submission guidance: Give a full solution, as required for this even-numbered problem by the examination cover.