{"status": "success", "data": {"description_md": "Four distinct points are arranged on a plane so that the segments connecting them have lengths $a$, $a$, $a$, $a$, $2a$, and $b$. What is the ratio of $b$ to $a$?\n\n$\\textbf{(A)}\\ \\sqrt{3}\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ \\sqrt{5}\\qquad\\textbf{(D)}\\ 3\\qquad\\textbf{(E)}\\ \\pi$", "description_html": "<p>Four distinct points are arranged on a plane so that the segments connecting them have lengths  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">a</span> ,  <span class=\"katex--inline\">2a</span> , and  <span class=\"katex--inline\">b</span> . What is the ratio of  <span class=\"katex--inline\">b</span>  to  <span class=\"katex--inline\">a</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\sqrt{3}\\qquad\\textbf{(B)}\\ 2\\qquad\\textbf{(C)}\\ \\sqrt{5}\\qquad\\textbf{(D)}\\ 3\\qquad\\textbf{(E)}\\ \\pi</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": 4, "problem_name": "2012 AMC 10B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10B_p22", "prev": "/problem/12_amc10B_p20"}}