Question 23
In the triangle $ABC$, $AB=63$ cm, $BC=56$ cm, $CA=49$ cm, $M$ is the midpoint of $BC$, and the extension of $AM$ meets the circumcircle $\omega$ of the triangle $ABC$ at $P$. The circle through $P$ and tangent to $BC$ at $M$ intersects $\omega$ at $Q$ distinct from $P$. Find the length of $MQ$ in centimetres.