{"status": "success", "data": {"description_md": "In quadrilateral $ABCD$, $AB = 5$, $BC = 17$, $CD = 5$, $DA = 9$, and $BD$ is an integer. What is $BD$?\n$$\n<center>\n<img class=\"problem-image\" height=\"85\" src=\"https://latex.artofproblemsolving.com/5/7/0/570b698fea7c6d66beab04dd6aee44dd24f2b6c1.png\" width=\"358\"/>\n</center>$$\n\n$\\mathrm{(A)}\\ 11\n\\qquad\n\\mathrm{(B)}\\ 12\n\\qquad\n\\mathrm{(C)}\\ 13\n\\qquad\n\\mathrm{(D)}\\ 14\n\\qquad\n\\mathrm{(E)}\\ 15$", "description_html": "<p>In quadrilateral  <span class=\"katex--inline\">ABCD</span> ,  <span class=\"katex--inline\">AB = 5</span> ,  <span class=\"katex--inline\">BC = 17</span> ,  <span class=\"katex--inline\">CD = 5</span> ,  <span class=\"katex--inline\">DA = 9</span> , and  <span class=\"katex--inline\">BD</span>  is an integer. What is  <span class=\"katex--inline\">BD</span> ?<br/>\n$$</p>\n<center>\n<img class=\"problem-image\" height=\"85\" src=\"https://latex.artofproblemsolving.com/5/7/0/570b698fea7c6d66beab04dd6aee44dd24f2b6c1.png\" width=\"358\"/>\n</center>$$\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 11\n\\qquad\n\\mathrm{(B)}\\ 12\n\\qquad\n\\mathrm{(C)}\\ 13\n\\qquad\n\\mathrm{(D)}\\ 14\n\\qquad\n\\mathrm{(E)}\\ 15</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": "2009 AMC 10A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p13", "prev": "/problem/09_amc10A_p11"}}