{"status": "success", "data": {"description_md": "In the diagram, $\\triangle PQR$ is isosceles with $PQ = PR = 39$ and $\\triangle SQR$ is equilateral with side length 30. The area of $\\triangle PQS$ is closest to\n\n<center><img class=\"problem-image\" src=\"/static/pascal/2016/crops/16_pascal_p23_fig.png\" alt=\"figure\" width=\"200\"></center>\n\n$\\text{(A)}\\ 68\\qquad\\text{(B)}\\ 75\\qquad\\text{(C)}\\ 50\\qquad\\text{(D)}\\ 180\\qquad\\text{(E)}\\ 135$\n\n___\n\n**[Pascal](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, <span class=\"katex--inline\">\\triangle PQR</span> is isosceles with <span class=\"katex--inline\">PQ = PR = 39</span> and <span class=\"katex--inline\">\\triangle SQR</span> is equilateral with side length 30. The area of <span class=\"katex--inline\">\\triangle PQS</span> is closest to</p>\n<center><img class=\"problem-image\" src=\"/static/pascal/2016/crops/16_pascal_p23_fig.png\" alt=\"figure\" width=\"200\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 68\\qquad\\text{(B)}\\ 75\\qquad\\text{(C)}\\ 50\\qquad\\text{(D)}\\ 180\\qquad\\text{(E)}\\ 135</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</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": 3, "problem_name": "2016 Pascal Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/16_pascal_p24", "prev": "/problem/16_pascal_p22"}}