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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A right triangle has one angle of 30°30° and the side opposite this angle has length 5. What is the perimeter of the triangle?

  • A

    5+1035 + 10\sqrt{3}

  • B

    10+5310 + 5\sqrt{3}

  • C

    15315\sqrt{3}

  • D

    15+5315 + 5\sqrt{3}

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Explanation

30-60-90 sides: 5, 5sqrt35\\sqrt{3}, 10. Perimeter =5+5sqrt3+10=15+5sqrt3= 5 + 5\\sqrt{3} + 10 = 15 + 5\\sqrt{3}.

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