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2015 AMC 10A Problem 17

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2015 AMC 10A Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 3 of 5 · about 5 min · position P16-20

A line that passes through the origin intersects both the line x=1x=1 and the line y=1+33xy=1+\frac{\sqrt{3}}{3}x . The three lines create an equilateral triangle. What is the perimeter of the triangle?

  1. A)

    262\sqrt{6}

  2. B)

    2+232+2\sqrt{3}

  3. C)

    66

  4. D)

    3+233+2\sqrt{3}

  5. E)

    6+336+\frac{\sqrt{3}}{3}

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