Answer:
IJ = 6
Explanation:
This is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
1 : sqrt(3) : 2
The short leg is the length of the long leg divided by sqrt(3).
The hypotenuse is twice the length of the short leg.
IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3
IJ = 2IK = 2(3) = 6