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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A 30-60-90 triangle has hypotenuse 10. What is its area?

  • A

    50350\sqrt{3}

  • B

    2532\frac{25\sqrt{3}}{2}

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  • C

    2525

  • D

    25325\sqrt{3}

Explanation

Sides: 5,5sqrt3,105, 5\\sqrt{3}, 10. Area =frac12(5)(5sqrt3)=frac25sqrt32= \\frac{1}{2}(5)(5\\sqrt{3}) = \\frac{25\\sqrt{3}}{2}.

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