{"status": "success", "data": {"description_md": "**POTD February 4, 2024**\n\nIn $\\triangle ABC,$ $AB = 21,$ $BC = 20,$ $AC = 29,$ and point $G$ is the intersection of the medians. Points $A',$ $B',$ and $C',$ are the images of $A,$ $B,$ and $C,$ respectively, after a $180^\\circ$ rotation about $G.$ What is the area of the union of the two regions enclosed by the triangles $ABC$ and $A'B'C'?$", "description_html": "<p><strong>POTD February 4, 2024</strong></p>&#10;<p>In <span class=\"katex--inline\">\\triangle ABC,</span> <span class=\"katex--inline\">AB = 21,</span> <span class=\"katex--inline\">BC = 20,</span> <span class=\"katex--inline\">AC = 29,</span> and point <span class=\"katex--inline\">G</span> is the intersection of the medians. Points <span class=\"katex--inline\">A',</span> <span class=\"katex--inline\">B',</span> and <span class=\"katex--inline\">C',</span> are the images of <span class=\"katex--inline\">A,</span> <span class=\"katex--inline\">B,</span> and <span class=\"katex--inline\">C,</span> respectively, after a <span class=\"katex--inline\">180^\\circ</span> rotation about <span class=\"katex--inline\">G.</span> What is the area of the union of the two regions enclosed by the triangles <span class=\"katex--inline\">ABC</span> and <span class=\"katex--inline\">A'B'C'?</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #61", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}