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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

An equilateral triangle has perimeter 24. What is the height (altitude) of this triangle?

  • A

    838\sqrt{3}

  • B

    434\sqrt{3}

    check_circle
  • C

    88

  • D

    44

Explanation

Side length =24/3=8= 24/3 = 8. The altitude of an equilateral triangle of side ss is fracssqrt32=frac8sqrt32=4sqrt3\\frac{s\\sqrt{3}}{2} = \\frac{8\\sqrt{3}}{2} = 4\\sqrt{3}.

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