{"status": "success", "data": {"description_md": "In $\\triangle ABC$ with incenter $I$, let $AB = 9, BC = 12, AC = 15$. Let $\\ell_1$ be the reflection of $AB$ across $CI$. Let $\\ell_2$ be the reflection of $AC$ across $BI$. Find the area of the triangle bounded by lines $\\ell_1$, $\\ell_2$, and $BC$.", "description_html": "<p>In <span class=\"katex--inline\">\\triangle ABC</span> with incenter <span class=\"katex--inline\">I</span>, let <span class=\"katex--inline\">AB = 9, BC = 12, AC = 15</span>. Let <span class=\"katex--inline\">\\ell_1</span> be the reflection of <span class=\"katex--inline\">AB</span> across <span class=\"katex--inline\">CI</span>. Let <span class=\"katex--inline\">\\ell_2</span> be the reflection of <span class=\"katex--inline\">AC</span> across <span class=\"katex--inline\">BI</span>. Find the area of the triangle bounded by lines <span class=\"katex--inline\">\\ell_1</span>, <span class=\"katex--inline\">\\ell_2</span>, and <span class=\"katex--inline\">BC</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "March Break 2024 - Problem 14", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}