{"status": "success", "data": {"description_md": "Triangle $ABC$ has positive integer side lengths with $AB=AC$. Let $I$ be the intersection of the bisectors of $\\angle B$ and $\\angle C$. Suppose $BI=8$. Find the smallest possible perimeter of $\\triangle ABC$.\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 positive integer side lengths with <span class=\"katex--inline\">AB=AC</span>. Let <span class=\"katex--inline\">I</span> be the intersection of the bisectors of <span class=\"katex--inline\">\\angle B</span> and <span class=\"katex--inline\">\\angle C</span>. Suppose <span class=\"katex--inline\">BI=8</span>. Find the smallest possible perimeter of <span class=\"katex--inline\">\\triangle ABC</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": 5, "problem_name": "2015 AIME I Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/15_aime_I_p12", "prev": "/problem/15_aime_I_p10"}}