{"status": "success", "data": {"description_md": "**POTD June 22, 2024**\n\n$\\triangle ABC$ has a right angle at $C$, and $D$ is the foot of the altitude from $C$ to $AB$. Points $L$, $M$, and $N$ are the midpoints of segments $AD$, $DC$, and $CA$, respectively. If $CL = 7$ and $BM = 12$, compute $BN^2$", "description_html": "<p><strong>POTD June 22, 2024</strong></p>&#10;<p><span class=\"katex--inline\">\\triangle ABC</span> has a right angle at <span class=\"katex--inline\">C</span>, and <span class=\"katex--inline\">D</span> is the foot of the altitude from <span class=\"katex--inline\">C</span> to <span class=\"katex--inline\">AB</span>. Points <span class=\"katex--inline\">L</span>, <span class=\"katex--inline\">M</span>, and <span class=\"katex--inline\">N</span> are the midpoints of segments <span class=\"katex--inline\">AD</span>, <span class=\"katex--inline\">DC</span>, and <span class=\"katex--inline\">CA</span>, respectively. If <span class=\"katex--inline\">CL = 7</span> and <span class=\"katex--inline\">BM = 12</span>, compute <span class=\"katex--inline\">BN^2</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #195", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}