As shown in the diagram, \(\angle MOL=30 ^\circ\) and \(A\) is a point inside \(\angle MOL\) with \(OA=6\). Let \(B\) and \(C\) be points on rays \(\overrightarrow {OM}\) and \(\overrightarrow {OL}\) respectively. Find the smallest possible perimeter of \(\triangle ABC\).
https://latex.artofproblemsolving.com/7/d/9/7d957ed179a1092b65680707dd356a356d05a02e.png
