{"status": "success", "data": {"description_md": "Triangle $ABC$ has $BC=20$. The incircle of the triangle evenly trisects the median $AD$. If the area of the triangle is $m \\sqrt{n}$ where $m$ and $n$ are integers and $n$ is not divisible by the square of a prime, find $m+n$.\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>Triangle <span class=\"katex--inline\">ABC</span> has <span class=\"katex--inline\">BC=20</span>. The incircle of the triangle evenly trisects the median <span class=\"katex--inline\">AD</span>. If the area of the triangle is <span class=\"katex--inline\">m \\sqrt{n}</span> where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are integers and <span class=\"katex--inline\">n</span> is not divisible by the square of a prime, find <span class=\"katex--inline\">m+n</span>.</p>&#10;<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "2005 AIME I Problem 15", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/05_aime_I_p14"}}