{"status": "success", "data": {"description_md": "Externally tangent circles with centers at points $A$ and $B$ have radii of lengths $5$ and $3$, respectively. A line externally tangent to both circles intersects ray $AB$ at point $C$. What is $BC$?\n\n$\\textbf{(A)}\\ 4\\qquad\\textbf{(B)}\\ 4.8\\qquad\\textbf{(C)}\\ 10.2\\qquad\\textbf{(D)}\\ 12\\qquad\\textbf{(E)}\\ 14.4$", "description_html": "<p>Externally tangent circles with centers at points  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span>  have radii of lengths  <span class=\"katex--inline\">5</span>  and  <span class=\"katex--inline\">3</span> , respectively. A line externally tangent to both circles intersects ray  <span class=\"katex--inline\">AB</span>  at point  <span class=\"katex--inline\">C</span> . What is  <span class=\"katex--inline\">BC</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 4\\qquad\\textbf{(B)}\\ 4.8\\qquad\\textbf{(C)}\\ 10.2\\qquad\\textbf{(D)}\\ 12\\qquad\\textbf{(E)}\\ 14.4</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": "2012 AMC 10A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p12", "prev": "/problem/12_amc10A_p10"}}