{"status": "success", "data": {"description_md": "In the diagram, $\\triangle ABC$ is right-angled at $C$. Also, points $M$, $N$ and $P$ are the midpoints of sides $BC$, $AC$ and $AB$, respectively. If the area of $\\triangle APN$ is 2 cm$^2$, then the area of $\\triangle ABC$ is\n\n<center><img class=\"problem-image\" src=\"/static/cayley/2007/crops/07_cayley_p13_fig.png\" alt=\"figure\" width=\"296\"></center>\n\n$\\text{(A)}\\ 8 \\text{ cm}^2\\qquad\\text{(B)}\\ 16 \\text{ cm}^2\\qquad\\text{(C)}\\ 6 \\text{ cm}^2\\qquad\\text{(D)}\\ 4 \\text{ cm}^2\\qquad\\text{(E)}\\ 12 \\text{ cm}^2$\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, <span class=\"katex--inline\">\\triangle ABC</span> is right-angled at <span class=\"katex--inline\">C</span>. Also, points <span class=\"katex--inline\">M</span>, <span class=\"katex--inline\">N</span> and <span class=\"katex--inline\">P</span> are the midpoints of sides <span class=\"katex--inline\">BC</span>, <span class=\"katex--inline\">AC</span> and <span class=\"katex--inline\">AB</span>, respectively. If the area of <span class=\"katex--inline\">\\triangle APN</span> is 2 cm<span class=\"katex--inline\">^2</span>, then the area of <span class=\"katex--inline\">\\triangle ABC</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/cayley/2007/crops/07_cayley_p13_fig.png\" alt=\"figure\" width=\"296\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 8 \\text{ cm}^2\\qquad\\text{(B)}\\ 16 \\text{ cm}^2\\qquad\\text{(C)}\\ 6 \\text{ cm}^2\\qquad\\text{(D)}\\ 4 \\text{ cm}^2\\qquad\\text{(E)}\\ 12 \\text{ cm}^2</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": 1, "problem_name": "2007 Cayley Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/07_cayley_p14", "prev": "/problem/07_cayley_p12"}}