{"status": "success", "data": {"description_md": "In trapezoid $ABCD$ with $\\overline{BC}\\parallel\\overline{AD}$, let $BC=1000$ and $AD=2008$. Let $\\angle A=37^\\circ$, $\\angle D=53^\\circ$, and $m$ and $n$ be the midpoints of $\\overline{BC}$ and $\\overline{AD}$, respectively. Find the length $MN$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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 trapezoid <span class=\"katex--inline\">ABCD</span> with <span class=\"katex--inline\">\\overline{BC}\\parallel\\overline{AD}</span>, let <span class=\"katex--inline\">BC=1000</span> and <span class=\"katex--inline\">AD=2008</span>. Let <span class=\"katex--inline\">\\angle A=37^\\circ</span>, <span class=\"katex--inline\">\\angle D=53^\\circ</span>, and <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> be the midpoints of <span class=\"katex--inline\">\\overline{BC}</span> and <span class=\"katex--inline\">\\overline{AD}</span>, respectively. Find the length <span class=\"katex--inline\">MN</span>.</p>&#10;<hr/>&#10;<p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2008 AIME II Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/08_aime_II_p06", "prev": "/problem/08_aime_II_p04"}}