{"status": "success", "data": {"description_md": "**POTD May 27, 2024**\n\nIn $\\triangle ABC$, let $P$ be the intersection of the angle bisector of $A$ and side $BC$. As well, $AC = 2AB$. Find the value of $\\dfrac{9\\cdot AP^2 + 2\\cdot BC^2}{AB^2}$.", "description_html": "<p><strong>POTD May 27, 2024</strong></p>&#10;<p>In <span class=\"katex--inline\">\\triangle ABC</span>, let <span class=\"katex--inline\">P</span> be the intersection of the angle bisector of <span class=\"katex--inline\">A</span> and side <span class=\"katex--inline\">BC</span>. As well, <span class=\"katex--inline\">AC = 2AB</span>. Find the value of <span class=\"katex--inline\">\\dfrac{9\\cdot AP^2 + 2\\cdot BC^2}{AB^2}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #169", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}