according to sine rule,
\[a:\text{ }b:\text{ }c\text{ }=\text{ }2:\text{ }\surd 6:\text{ }\left( 1+\surd 3 \right)\]
Therefore,
the ratio of the sides of the given triangle is:
\[~a:\text{ }b:\text{ }c\text{ }=\text{ }2:\text{ }\surd 6:\text{ }\left( 1+\surd 3 \right)\]