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Difference between revisions of "2015 AMC 10A Problems/Problem 17"

(Created page with "==Problem== A line that passes through the origin in tersects both the line <math> x = 1</math> and the line <math>y=1+ \frac{\sqrt{3}}{3} x</math>. The three lines create an eq...")
(No difference)

Revision as of 17:14, 4 February 2015

Problem

A line that passes through the origin in tersects 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?

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


Solution

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