{"status": "success", "data": {"description_md": "Let $A(2,2)$ and $B(7,7)$ be points in the plane. Define $R$ as the region in the first quadrant consisting of those points $C$ such that $\\triangle ABC$ is an acute triangle. What is the closest integer to the area of the region $R$?\n\n$\\mathrm{(A)}\\ 25     \\qquad<br>\\mathrm{(B)}\\ 39     \\qquad<br>\\mathrm{(C)}\\ 51     \\qquad<br>\\mathrm{(D)}\\ 60     \\qquad<br>\\mathrm{(E)}\\ 80     \\qquad$\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\">A(2,2)</span>  and  <span class=\"katex--inline\">B(7,7)</span>  be points in the plane. Define  <span class=\"katex--inline\">R</span>  as the region in the first quadrant consisting of those points  <span class=\"katex--inline\">C</span>  such that  <span class=\"katex--inline\">\\triangle ABC</span>  is an acute triangle. What is the closest integer to the area of the region  <span class=\"katex--inline\">R</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ 25     \\qquad\\mathrm{(B)}\\ 39     \\qquad\\mathrm{(C)}\\ 51     \\qquad\\mathrm{(D)}\\ 60     \\qquad\\mathrm{(E)}\\ 80     \\qquad</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": "2005 AMC 12B Problem 18", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p19", "prev": "/problem/05_amc12B_p17"}}