{"status": "success", "data": {"description_md": "In $\\bigtriangleup ABC$, $AB = 86$, and $AC = 97$. A circle with center $A$ and radius $AB$ intersects $\\overline{BC}$ at points $B$ and $X$. Moreover $\\overline{BX}$ and $\\overline{CX}$ have integer lengths. What is $BC$?\n\n$\\textbf{(A)} \\ 11 \\qquad  \\textbf{(B)} \\ 28 \\qquad  \\textbf{(C)} \\ 33 \\qquad  \\textbf{(D)} \\ 61 \\qquad  \\textbf{(E)} \\ 72$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>In  <span class=\"katex--inline\">\\bigtriangleup ABC</span> ,  <span class=\"katex--inline\">AB = 86</span> , and  <span class=\"katex--inline\">AC = 97</span> . A circle with center  <span class=\"katex--inline\">A</span>  and radius  <span class=\"katex--inline\">AB</span>  intersects  <span class=\"katex--inline\">\\overline{BC}</span>  at points  <span class=\"katex--inline\">B</span>  and  <span class=\"katex--inline\">X</span> . Moreover  <span class=\"katex--inline\">\\overline{BX}</span>  and  <span class=\"katex--inline\">\\overline{CX}</span>  have integer lengths. What is  <span class=\"katex--inline\">BC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ 11 \\qquad  \\textbf{(B)} \\ 28 \\qquad  \\textbf{(C)} \\ 33 \\qquad  \\textbf{(D)} \\ 61 \\qquad  \\textbf{(E)} \\ 72</span> </p>&#10;<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": "2013 AMC 12A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p20", "prev": "/problem/13_amc12A_p18"}}