56. Exemplar exercise problems XXX

$A$ is a point at a distance $13 \ cm$ from the centre $O$ of a circle of radius $5 \ cm$. $AP$ and $AQ$ are the tangents to the circle at $P$ and $Q$. If a tangegnt $BC$ is drawn at a point $R$ lying on the minor arc $PQ$ to intersect $AP$ at $B$ and $AQ$ at $C$, find the perimeter of the $\Delta ABC$.

 

Perimeter of $\Delta ABC$ $=$ $cm$