{"status": "success", "data": {"description_md": "Trapezoid $ABCD$ has parallel sides $\\overline{AB}$ of length $33$ and $\\overline{CD}$ of length $21$. The other two sides are of lengths $10$ and $14$. The angles at $A$ and $B$ are acute. What is the length of the shorter diagonal of $ABCD$?\n\n$\\textbf{(A) } 10\\sqrt{6} \\qquad\\textbf{(B) } 25 \\qquad\\textbf{(C) } 8\\sqrt{10} \\qquad\\textbf{(D) } 18\\sqrt{2} \\qquad\\textbf{(E) } 26$", "description_html": "<p>Trapezoid  <span class=\"katex--inline\">ABCD</span>  has parallel sides  <span class=\"katex--inline\">\\overline{AB}</span>  of length  <span class=\"katex--inline\">33</span>  and  <span class=\"katex--inline\">\\overline{CD}</span>  of length  <span class=\"katex--inline\">21</span> . The other two sides are of lengths  <span class=\"katex--inline\">10</span>  and  <span class=\"katex--inline\">14</span> . The angles at  <span class=\"katex--inline\">A</span>  and  <span class=\"katex--inline\">B</span>  are acute. What is the length of the shorter diagonal of  <span class=\"katex--inline\">ABCD</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 10\\sqrt{6} \\qquad\\textbf{(B) } 25 \\qquad\\textbf{(C) } 8\\sqrt{10} \\qquad\\textbf{(D) } 18\\sqrt{2} \\qquad\\textbf{(E) } 26</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": "2014 AMC 10B Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc10B_p22", "prev": "/problem/14_amc10B_p20"}}