Answer:
AB = 6√3
Step-by-step explanation:
The triangle is a 30°, 60°, 90° triangle, and therefore side AC is equivalent to x√3, where x = length of the smallest side.
To find AB, we must first find x by dividing 6 by √3.
[tex]\frac{6}{\sqrt{3}} = \frac{6\sqrt{3}}{3}=3\sqrt{3}[/tex]
Therefore, x, in this case side BC, is equivalent to 3√3
Side AB, hour hypotenuse, is equal to 2x:
[tex]2(3\sqrt{3})=6\sqrt{3}[/tex]
AB = [tex]6\sqrt{3}[/tex]
