{"status": "success", "data": {"description_md": "Let $\\triangle ABC$ have circumcenter $O$ and incenter $I$ with $\\overline{IA}\\perp\\overline{OI}$, circumradius $13$, and inradius $6$. Find $AB\\cdot AC$.\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>Let <span class=\"katex--inline\">\\triangle ABC</span> have circumcenter <span class=\"katex--inline\">O</span> and incenter <span class=\"katex--inline\">I</span> with <span class=\"katex--inline\">\\overline{IA}\\perp\\overline{OI}</span>, circumradius <span class=\"katex--inline\">13</span>, and inradius <span class=\"katex--inline\">6</span>. Find <span class=\"katex--inline\">AB\\cdot AC</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": "2024 AIME II Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/24_aime_II_p11", "prev": "/problem/24_aime_II_p09"}}