Right Triangles and Trigonometry

SAT Math· difficulty 3/5

In a 30-60-90 triangle, the side opposite the 60° angle has length 9sqrt39\\sqrt{3}. What is the length of the hypotenuse?

  • A

    18318\sqrt{3}

  • B

    9

  • C

    969\sqrt{6}

  • D

    18

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Explanation

Ratio is 1:sqrt3:21:\\sqrt{3}:2. If side opposite 60° =9sqrt3= 9\\sqrt{3}, then the "11" side is 9, and hypotenuse (the "22" side) is 1818.

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