{"status": "success", "data": {"description_md": "In $\\triangle ABC$, $AB = 86$, 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$\\textbf{(A)}\\ 11\\qquad\\textbf{(B)}\\ 28\\qquad\\textbf{(C)}\\ 33\\qquad\\textbf{(D)}\\ 61\\qquad\\textbf{(E)}\\ 72$", "description_html": "<p>In  <span class=\"katex--inline\">\\triangle 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>\n<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>\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": "2013 AMC 10A Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc10A_p24", "prev": "/problem/13_amc10A_p22"}}