Question 44
A point $O$ and the circles $k_{1}$ with center $O$ and radius $3$, $k_{2}$ with center $O$ and radius $5$, are given. Let $A$ be a point on $k_{1}$ and $B$ be a point on $k_{2}$. If $ABC$ is an equilateral triangle, find the maximum value of the distance $OC$.