{"status": "success", "data": {"description_md": "**POTD January 16, 2024**\n**Author:** XTL\n\nLet $ABC$ be an isosceles right triangle with $AB=BC=1.$ Construct squares $ABFG$ and $BCED$ outside the triangle. If $CG$ and $AE$ intersect at $H$, and the area of triangle $AHC$ is $\\frac{a}{b}$, where $a$ and $b$ are relatively prime, positive integers, find $a+b$.\n\nTry to solve this problem with the least amount of bash. No coordinates, no trig.", "description_html": "<p><strong>POTD January 16, 2024</strong><br/>&#10;<strong>Author:</strong> XTL</p>&#10;<p>Let <span class=\"katex--inline\">ABC</span> be an isosceles right triangle with <span class=\"katex--inline\">AB=BC=1.</span> Construct squares <span class=\"katex--inline\">ABFG</span> and <span class=\"katex--inline\">BCED</span> outside the triangle. If <span class=\"katex--inline\">CG</span> and <span class=\"katex--inline\">AE</span> intersect at <span class=\"katex--inline\">H</span>, and the area of triangle <span class=\"katex--inline\">AHC</span> is <span class=\"katex--inline\">\\frac{a}{b}</span>, where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime, positive integers, find <span class=\"katex--inline\">a+b</span>.</p>&#10;<p>Try to solve this problem with the least amount of bash. No coordinates, no trig.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #42", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}