{"status": "success", "data": {"description_md": "Let $ABCD$ be a cyclic quadrilateral, such that $AB = AD$ and $\\angle BAD = 144^{\\circ}$ and the area of $\\triangle ABD$ is the same as the area of $\\triangle CBD.$ Compute $\\dfrac{AC^2}{AB^2}$.", "description_html": "<p>Let <span class=\"katex--inline\">ABCD</span> be a cyclic quadrilateral, such that <span class=\"katex--inline\">AB = AD</span> and <span class=\"katex--inline\">\\angle BAD = 144^{\\circ}</span> and the area of <span class=\"katex--inline\">\\triangle ABD</span> is the same as the area of <span class=\"katex--inline\">\\triangle CBD.</span> Compute <span class=\"katex--inline\">\\dfrac{AC^2}{AB^2}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 7, "problem_name": "Christmas Contest - Guts Round - Set 9 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}