{"status": "success", "data": {"description_md": "**POTD Normal December 13, 2023**\n**Author:** excelex\n\n$D$ is a point on the interior of line segment $BC$ of $\\bigtriangleup ABC$ and segment $AD$ is drawn. If $BD = 2, AD = 7$ and $CD = 4$, and the circumradii of $ABD$ and $ADC$ are equal. If the area of $\\bigtriangleup ABC$ is $a\\sqrt{b}$, find the value of $a+b$.", "description_html": "<p><strong>POTD Normal December 13, 2023</strong><br/>&#10;<strong>Author:</strong> excelex</p>&#10;<p><span class=\"katex--inline\">D</span> is a point on the interior of line segment <span class=\"katex--inline\">BC</span> of <span class=\"katex--inline\">\\bigtriangleup ABC</span> and segment <span class=\"katex--inline\">AD</span> is drawn. If <span class=\"katex--inline\">BD = 2, AD = 7</span> and <span class=\"katex--inline\">CD = 4</span>, and the circumradii of <span class=\"katex--inline\">ABD</span> and <span class=\"katex--inline\">ADC</span> are equal. If the area of <span class=\"katex--inline\">\\bigtriangleup ABC</span> is <span class=\"katex--inline\">a\\sqrt{b}</span>, find the value of <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #24 (Normal)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}