Which set of values could be the side lengths of a 30-60-90 triangle. see picture

IT would be 6, 6√3, and 12

To find side lengths of a 30-60-90 triangle would be to use a²+b²=c². C is the hypotenuse (longest side), while a and b are the legs (short sides).

using these values we get 36(originally 6)+108(originally 6√3)=144(12), which is true.