Problem #PRU-66548

Problem

The triangle $ABC$ is equilateral. The point $K$ is chosen on the side $AB$ and points $L$ and $M$ are on the side $BC$ in such a way that $L$ lies on the segment $BM$. We have the following properties: $KL=KM,$ $BL=2,AK=3.$ Find the length of $CM$.