Explanation

The triangle is a 30°-60°-90° triangle, so the ratio of the lengths of the legs is 1 to \(\sqrt{3}\). Since the
length of the shorter leg, AB, is 6, it follows that the length of the longer leg, AC, is \(\frac{6}{3}\). The area
of the triangle is therefore \(\frac{1}{2}6*6\sqrt{3}\), or \(18\sqrt{3}\).

The correct answer is Choice D.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Hi
The choices mentioned are wrong..

I took 4 minutes and 40 seconds and could not get my head around the choices until I saw your solution which mentions that D is correct..

Correct the typos and please make sure that there are no typos at-least in the question part.

Thank you.