Answer:
22sqrt(3)/3
You are correct.
Step-by-step explanation:
You have a 30-60-90 triangle.
In a 30-60-90 triangle, the hypotenuse is twice the length of the short leg. The long leg is sqrt(3) times the length of the short leg.
You are given the length of the long leg.
1) Find the length of the short leg.
HG = GI/sqrt(3) = 11/sqrt(3)
2) Find the length of the hypotenuse, HI.
HI = 2HG = 2(11/sqrt(3)) = 2(11/sqrt(3))*(sqrt(3))/(sqrt(3)) = 22sqrt(3)/3
