A triangle has two sides with lengths of 60 and 120. The angle separating these sides is 60°. Which of the following statements is true?

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Correct Answer: **A.** *The area of the triangle is greater than 3000*

This problem is solved through drawing a picture. We know the angle separating these two sides, and upon drawing it, it is recognized that the triangle is a 30-60-90 triangle, with side lengths of 60, 120, and 60√3. Thus, the height is 60√3, the base is 60, and the hypotenuse is 120. Using the formula for area of a triangle, we see that (60*60√3)/2 should be greater than 3000. You’ll have a calculator on the DAT, but the trick to scoring high on the QR section is minimizing the need of a calculator.

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Photo attributed to Larry Wilder.