{"status": "success", "data": {"description_md": "A circle with center $O$ has area $156\\pi$. Triangle $ABC$ is equilateral, $\\overline{BC}$ is a chord on the circle, $OA = 4\\sqrt{3}$, and point $O$ is outside $\\triangle ABC$. What is the side length of $\\triangle ABC$?\n\n$\\textbf{(A)}\\ 2\\sqrt{3}\n\\qquad\n\\textbf{(B)}\\ 6\n\\qquad\n\\textbf{(C)}\\ 4\\sqrt{3}\n\\qquad\n\\textbf{(D)}\\ 12\n\\qquad\n\\textbf{(E)}\\ 18$", "description_html": "<p>A circle with center  <span class=\"katex--inline\">O</span>  has area  <span class=\"katex--inline\">156\\pi</span> . Triangle  <span class=\"katex--inline\">ABC</span>  is equilateral,  <span class=\"katex--inline\">\\overline{BC}</span>  is a chord on the circle,  <span class=\"katex--inline\">OA = 4\\sqrt{3}</span> , and point  <span class=\"katex--inline\">O</span>  is outside  <span class=\"katex--inline\">\\triangle ABC</span> . What is the side length of  <span class=\"katex--inline\">\\triangle ABC</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 2\\sqrt{3}\n\\qquad\n\\textbf{(B)}\\ 6\n\\qquad\n\\textbf{(C)}\\ 4\\sqrt{3}\n\\qquad\n\\textbf{(D)}\\ 12\n\\qquad\n\\textbf{(E)}\\ 18</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2010 AMC 10B Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc10B_p20", "prev": "/problem/10_amc10B_p18"}}