{"status": "success", "data": {"description_md": "Let $\\triangle{XOY}$ be a right-angled triangle with $\\angle{XOY}=90^\\circ$. Let $M$ and $N$ be the midpoints of the legs $OX$ and $OY$, respectively. Given $XN=19$ and $YM=22$, find $XY$.\n\n$\\mathrm{(A) \\ } 24\\qquad \\mathrm{(B) \\ } 26\\qquad \\mathrm{(C) \\ } 28\\qquad \\mathrm{(D) \\ } 30\\qquad \\mathrm{(E) \\ } 32$", "description_html": "<p>Let  <span class=\"katex--inline\">\\triangle{XOY}</span>  be a right-angled triangle with  <span class=\"katex--inline\">\\angle{XOY}=90^\\circ</span> . Let  <span class=\"katex--inline\">M</span>  and  <span class=\"katex--inline\">N</span>  be the midpoints of the legs  <span class=\"katex--inline\">OX</span>  and  <span class=\"katex--inline\">OY</span> , respectively. Given  <span class=\"katex--inline\">XN=19</span>  and  <span class=\"katex--inline\">YM=22</span> , find  <span class=\"katex--inline\">XY</span> .</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 24\\qquad \\mathrm{(B) \\ } 26\\qquad \\mathrm{(C) \\ } 28\\qquad \\mathrm{(D) \\ } 30\\qquad \\mathrm{(E) \\ } 32</span> </p>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2002 AMC 10B Problem 22", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc10B_p23", "prev": "/problem/02_amc10B_p21"}}