PSAT Math Multiple-Choice Question 599: Answer and Explanation

Question: 599

The sides of a right triangle are 6, , and 12. In a triangle similar to this triangle, what is the measure of the triangle's smallest interior angle

• A. 10°
• B. 30°
• C. 40°
• D. 45°

Correct Answer: B

Explanation:

(B) The sides given are a multiple of a special right triangle, the triangle that has sides the length of . In this problem, 6 corresponds to the x, corresponds to the , and 12 corresponds to the 2x. In this triangle, 30° is the smallest angle.