2015 AMC 10A Problem 17

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

\textbf{(A) }2\sqrt{6}\qquad\textbf{(B) }2+2\sqrt{3}\qquad\textbf{(C) }6\qquad\textbf{(D) }3+2\sqrt{3}\qquad\textbf{(E) }6+\frac{\sqrt{3}}{3}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.