{"status": "success", "data": {"description_md": "**POTD January 18, 2024**\n\nLet $ABC$ be a triangle with $AB=5$, $BC=6$, and $CA=7$. Let the circle with diameter $AB$ intersect the incircle at $D$ and $E$, and let $DE$ intersect $AB$ at $H$. If the incircle is tangent to $AB$ at $G$ then find $GH$ ", "description_html": "<p><strong>POTD January 18, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">ABC</span> be a triangle with <span class=\"katex--inline\">AB=5</span>, <span class=\"katex--inline\">BC=6</span>, and <span class=\"katex--inline\">CA=7</span>. Let the circle with diameter <span class=\"katex--inline\">AB</span> intersect the incircle at <span class=\"katex--inline\">D</span> and <span class=\"katex--inline\">E</span>, and let <span class=\"katex--inline\">DE</span> intersect <span class=\"katex--inline\">AB</span> at <span class=\"katex--inline\">H</span>. If the incircle is tangent to <span class=\"katex--inline\">AB</span> at <span class=\"katex--inline\">G</span> then find <span class=\"katex--inline\">GH</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #44", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}