AMC 10 Step by Step
2015 AMC 10AProblem 17P16-20~5 minPrint

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?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.