{"status": "success", "data": {"description_md": "Three circles have centres $A$, $B$ and $C$ with radii 2, 4 and 6 respectively. The circles are tangent to each other as shown. Triangle $ABC$ has\n\n<center><img class=\"problem-image\" src=\"/static/fermat/2000/crops/00_fermat_p17_fig.png\" alt=\"figure\" width=\"183\"></center>\n\n$\\text{(A)}\\ \\angle A \\text{ obtuse}\\qquad\\text{(B)}\\ \\angle B = 90^\\circ\\qquad\\text{(C)}\\ \\angle A = 90^\\circ\\qquad\\text{(D)}\\ \\text{all angles acute}\\qquad\\text{(E)}\\ \\angle B = \\angle C$\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>Three circles have centres <span class=\"katex--inline\">A</span>, <span class=\"katex--inline\">B</span> and <span class=\"katex--inline\">C</span> with radii 2, 4 and 6 respectively. The circles are tangent to each other as shown. Triangle <span class=\"katex--inline\">ABC</span> has</p>\n<center><img class=\"problem-image\" src=\"/static/fermat/2000/crops/00_fermat_p17_fig.png\" alt=\"figure\" width=\"183\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ \\angle A \\text{ obtuse}\\qquad\\text{(B)}\\ \\angle B = 90^\\circ\\qquad\\text{(C)}\\ \\angle A = 90^\\circ\\qquad\\text{(D)}\\ \\text{all angles acute}\\qquad\\text{(E)}\\ \\angle B = \\angle C</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": 2, "problem_name": "2000 Fermat Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/00_fermat_p18", "prev": "/problem/00_fermat_p16"}}