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2015 AMC 10A Question 17

AMC10 · 2015 AMC 10A

Question 17

A line that passes through the origin intersects both the line $x = 1$ and the line $$
y=1+ \dfrac{\sqrt{3}}{3} x.
$$ The three lines create an equilateral triangle. What is the perimeter of the triangle?
  1. $2\sqrt{6}$
  2. $2 + 2\sqrt{3}$
  3. $6$
  4. $3 + 2\sqrt{3}$
  5. $6 + \dfrac{\sqrt{3}}{3}$