Find the length of side x in simplest radical form with a rational denominator.

Answer:
x = [tex]\sqrt{3}[/tex]/6
Step-by-step explanation:
30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2
create a proportion: (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)
cross-multiply: 6x = [tex]\sqrt{3}[/tex]
divide by 6