SAT Math Multiple Choice Question 955: Answer and Explanation

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Test Information

Question: 955


The area of triangle DEF issquare units. What is the length of?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A



Difficulty: Medium

Category: Additional Topics in Math / Geometry

Strategic Advice: When you see a triangle on Test Day that has a 60-degree angle, check the formula page at the beginning of the math section and jot down the ratio for the sides of a 30-60-90 triangle,.

Getting to the Answer: You're given the area of the triangle. Because the triangle is a right triangle, the base and the height are the two legs of the triangle. Call the lengths of the legs x and. Substitute these values and the given area into the area formula:

To solve this equation, divide both sides by the radical, and then multiply both sides by 2.

Length can't be negative, so x = 8, which is the length of the shortest leg. Side is across from the 30-degree angle (which is the smallest angle in the triangle), so it is the shortest leg (which is given by x), making (A) correct.

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