{"status": "success", "data": {"description_md": "<center>\n<img class=\"problem-image\" height=\"335\" src=\"https://latex.artofproblemsolving.com/f/4/a/f4a115a9c8dc91a741d0149edb037b3cb07f6b01.png\" width=\"252\"/>\n</center><br>\n\nA circle of radius $1$ is tangent to a circle of radius $2$. The sides of $\\triangle ABC$ are tangent to the circles as shown, and the sides $\\overline{AB}$  and $\\overline{AC}$  are congruent. What is the area of $\\triangle ABC$?\n\n$\\mathrm{(A)}\\ \\frac{35}{2}\\qquad\\mathrm{(B)}\\ 15\\sqrt{2}\\qquad\\mathrm{(C)}\\ \\frac{64}{3}\\qquad\\mathrm{(D)}\\ 16\\sqrt{2}\\qquad\\mathrm{(E)}\\ 24$", "description_html": "<center>&#10;<img class=\"problem-image\" height=\"335\" src=\"https://latex.artofproblemsolving.com/f/4/a/f4a115a9c8dc91a741d0149edb037b3cb07f6b01.png\" width=\"252\"/>&#10;</center><br/>&#10;<p>A circle of radius <span class=\"katex--inline\">1</span> is tangent to a circle of radius <span class=\"katex--inline\">2</span>. The sides of <span class=\"katex--inline\">\\triangle ABC</span> are tangent to the circles as shown, and the sides <span class=\"katex--inline\">\\overline{AB}</span>  and <span class=\"katex--inline\">\\overline{AC}</span>  are congruent. What is the area of <span class=\"katex--inline\">\\triangle ABC</span>?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac{35}{2}\\qquad\\mathrm{(B)}\\ 15\\sqrt{2}\\qquad\\mathrm{(C)}\\ \\frac{64}{3}\\qquad\\mathrm{(D)}\\ 16\\sqrt{2}\\qquad\\mathrm{(E)}\\ 24</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 10A Problem 16", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p17", "prev": "/problem/06_amc10A_p15"}}