{"status": "success", "data": {"description_md": "In the diagram, rectangle $PQRS$ has side $PQ$ on the diameter of the semicircle with $R$ and $S$ on the semicircle. If the diameter of the semicircle is 20 and the length of $PQ$ is 16, then the length of $PS$ is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p18_fig.png\" alt=\"figure\" width=\"237\"></center>\n\n$\\text{(A)}\\ 6\\qquad\\text{(B)}\\ 7\\qquad\\text{(C)}\\ 8\\qquad\\text{(D)}\\ 9\\qquad\\text{(E)}\\ 10$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>In the diagram, rectangle <span class=\"katex--inline\">PQRS</span> has side <span class=\"katex--inline\">PQ</span> on the diameter of the semicircle with <span class=\"katex--inline\">R</span> and <span class=\"katex--inline\">S</span> on the semicircle. If the diameter of the semicircle is 20 and the length of <span class=\"katex--inline\">PQ</span> is 16, then the length of <span class=\"katex--inline\">PS</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2015/crops/15_cayley_p18_fig.png\" alt=\"figure\" width=\"237\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 6\\qquad\\text{(B)}\\ 7\\qquad\\text{(C)}\\ 8\\qquad\\text{(D)}\\ 9\\qquad\\text{(E)}\\ 10</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2015 Cayley Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/15_cayley_p19", "prev": "/problem/15_cayley_p17"}}