{"status": "success", "data": {"description_md": "**POTD May 9, 2024**\n\nIn $\\triangle ABC$, let $\\angle CAB - \\angle B = 90^{\\circ}$. The angle bisector of $\\angle C$ intersects $AB$ at $L$, The angle bisector of the external angle of $\\angle C$ intersects the extension of line BA at $N$. If $CL = 5$, find the value of $CN$.", "description_html": "<p><strong>POTD May 9, 2024</strong></p>&#10;<p>In <span class=\"katex--inline\">\\triangle ABC</span>, let <span class=\"katex--inline\">\\angle CAB - \\angle B = 90^{\\circ}</span>. The angle bisector of <span class=\"katex--inline\">\\angle C</span> intersects <span class=\"katex--inline\">AB</span> at <span class=\"katex--inline\">L</span>, The angle bisector of the external angle of <span class=\"katex--inline\">\\angle C</span> intersects the extension of line BA at <span class=\"katex--inline\">N</span>. If <span class=\"katex--inline\">CL = 5</span>, find the value of <span class=\"katex--inline\">CN</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #151", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}