The answer is 6sqrt3 because the sides of an equal triangle are in the ratio 2:1:sqrt3 This means that h = 9 = xsqrt3. Solving our equation we get:
9 = xsqrt3
9/(sqrt3) = x
Rationalizing the denominator gives us:
9sqrt3/(3) = x
3sqrt3 = x.
Finally, because 2x equals the side of the triangle, we know that 6sqrt3 is the side length of the triangle.
