{"status": "success", "data": {"description_md": "$\\triangle PQR$ has $PQ = 150$ and $PR = QR = 125$, as shown. Three line segments are drawn parallel to $QR$, dividing $\\triangle PQR$ into four sections of equal area. The height, $h$, of the bottom section is closest to\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2014/crops/14_fermat_p23_fig.png\" alt=\"figure\" width=\"287\"></center>\n\n$\\text{(A)}\\ 16.7\\qquad\\text{(B)}\\ 16.9\\qquad\\text{(C)}\\ 16.5\\qquad\\text{(D)}\\ 16.3\\qquad\\text{(E)}\\ 16.1$\n\n___\n\n**[Fermat](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><span class=\"katex--inline\">\\triangle PQR</span> has <span class=\"katex--inline\">PQ = 150</span> and <span class=\"katex--inline\">PR = QR = 125</span>, as shown. Three line segments are drawn parallel to <span class=\"katex--inline\">QR</span>, dividing <span class=\"katex--inline\">\\triangle PQR</span> into four sections of equal area. The height, <span class=\"katex--inline\">h</span>, of the bottom section is closest to</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2014/crops/14_fermat_p23_fig.png\" alt=\"figure\" width=\"287\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 16.7\\qquad\\text{(B)}\\ 16.9\\qquad\\text{(C)}\\ 16.5\\qquad\\text{(D)}\\ 16.3\\qquad\\text{(E)}\\ 16.1</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</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": "2014 Fermat Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/14_fermat_p24", "prev": "/problem/14_fermat_p22"}}