{"status": "success", "data": {"description_md": "Alice and Bob are told to inscribe a square in an equilateral triangle. They did it in two different ways. Alice oriented her square such that one side of the square lies on a side of the equilateral triangle. Bob oriented his square such that the diagonal of the square lies on an altitude of the equilateral triangle. The ratio of the side lengths of Alice's square and Bob's square can be written as $\\sqrt{a}-\\sqrt{b}$. Find $a + b$.", "description_html": "<p>Alice and Bob are told to inscribe a square in an equilateral triangle. They did it in two different ways. Alice oriented her square such that one side of the square lies on a side of the equilateral triangle. Bob oriented his square such that the diagonal of the square lies on an altitude of the equilateral triangle. The ratio of the side lengths of Alice&#8217;s square and Bob&#8217;s square can be written as <span class=\"katex--inline\">\\sqrt{a}-\\sqrt{b}</span>. Find <span class=\"katex--inline\">a + b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Grinding Aces Math Exam 2025 - Problem 2", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}