ExplanationThe 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.

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Sandy

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