Verified Answer :

In a 30-60-90 triangle, the opposite sides occur in a 1-sqrt(3)-2 ratio. This means the side opposite the right angle occurs in a ratio of \(\dfrac2{\sqrt3}:1\) with the longer leg. So the hypotenuse has length

\(x=14\times\dfrac2{\sqrt3}=\dfrac{28}{\sqrt3}\)