SAT Math Multiple Choice Question 953: Answer and Explanation

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Test Information

Question: 953

5.

p>In the figure above, what is the value of x?

  • A.
  • B. 6
  • C.
  • D. 8

Correct Answer: A

Explanation:

A

Difficulty: Easy

Category: Additional Topics in Math / Geometry

Strategic Advice: Whenever you see a 45 degree angle, look for a special right triangle. On Test Day, don't forget that you can refer to the formula page at the beginning of the math section.

Getting to the Answer: The measure of the third angle is, so the triangle is a 45-45-90 triangle. The side lengths of a 45-45-90 triangle are always in the ratio, so the hypotenuse (which happens to be x in this question) is the length of a leg, multiplied by. This means, which is (A).

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