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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In a right triangle, one acute angle is 30°30°, and the hypotenuse is 8. What is the length of the side adjacent to the 30°30° angle?

  • A

    838\sqrt{3}

  • B

    434\sqrt{3}

    check_circle
  • C

    44

  • D

    83\frac{8}{\sqrt{3}}

Explanation

The side adjacent to 30°30° is opposite to 60°60°. In 30-60-90: opposite-60 =fracsqrt32(texthyp)=fracsqrt32(8)=4sqrt3= \\frac{\\sqrt{3}}{2}(\\text{hyp}) = \\frac{\\sqrt{3}}{2}(8) = 4\\sqrt{3}.

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