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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

 Apr 30, 2019
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If this is an AOPS problem, try referring to the textbook first before coming here for help :)

 

If you aleady did that, ask on message boards

 Apr 30, 2019

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