Lines, Angles, and Triangles

SAT Math· difficulty 4/5

An equilateral triangle is inscribed in a circle of radius 6. What is the side length of the triangle?

  • A

    6

  • B

    333\sqrt{3}

  • C

    12

  • D

    636\sqrt{3}

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Explanation

For equilateral triangle in circle: s=Rsqrt3s = R\\sqrt{3} where R is the circumradius. So s=6sqrt3s = 6\\sqrt{3}.

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