Right Triangles and Trigonometry

SAT Math· difficulty 3/5

In a 30-60-90 triangle, the hypotenuse has length 12. What is the length of the side opposite the 30° angle?

  • A

    6

    check_circle
  • B

    12312\sqrt{3}

  • C

    12\sqrt{12}

  • D

    636\sqrt{3}

Explanation

The ratio is 1:sqrt3:21:\\sqrt{3}:2. The side opposite 30° is half the hypotenuse, so frac122=6\\frac{12}{2} = 6.

Want 10 more like this — adaptive to your weak spots?

Related questions