{"status": "success", "data": {"description_md": "Circles with radii $1$, $2$, and $3$ are mutually externally tangent. What is the area of the triangle determined by the points of tangency?\n\n$\\textbf{(A)}\\ \\frac{3}{5} \\qquad<br>\\textbf{(B)}\\ \\frac{4}{5} \\qquad<br>\\textbf{(C)}\\ 1 \\qquad<br>\\textbf{(D)}\\ \\frac{6}{5} \\qquad<br>\\textbf{(E)}\\ \\frac{4}{3}$\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>Circles with radii  <span class=\"katex--inline\">1</span> ,  <span class=\"katex--inline\">2</span> , and  <span class=\"katex--inline\">3</span>  are mutually externally tangent. What is the area of the triangle determined by the points of tangency?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{3}{5} \\qquad\\textbf{(B)}\\ \\frac{4}{5} \\qquad\\textbf{(C)}\\ 1 \\qquad\\textbf{(D)}\\ \\frac{6}{5} \\qquad\\textbf{(E)}\\ \\frac{4}{3}</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": "2011 AMC 12A Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12A_p18", "prev": "/problem/11_amc12A_p16"}}