{"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 legs $OX$ and $OY$, respectively. Given that $XN = 19$ and $YM = 22$, find $XY$.\n\n$\\mathrm{(A)}\\ 24<br>\\qquad\\mathrm{(B)}\\ 26<br>\\qquad\\mathrm{(C)}\\ 28<br>\\qquad\\mathrm{(D)}\\ 30<br>\\qquad\\mathrm{(E)}\\ 32$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "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 legs  <span class=\"katex--inline\">OX</span>  and  <span class=\"katex--inline\">OY</span> , respectively. Given that  <span class=\"katex--inline\">XN = 19</span>  and  <span class=\"katex--inline\">YM = 22</span> , find  <span class=\"katex--inline\">XY</span> .</p>&#10;<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>&#10;<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": 3, "problem_name": "2002 AMC 12B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12B_p21", "prev": "/problem/02_amc12B_p19"}}