{"status": "success", "data": {"description_md": "Triangle $ABC$ has vertices $A = (3,0)$, $B = (0,3)$, and $C$, where $C$ is on the line $x + y = 7$. What is the area of $\\triangle ABC$?\n\n$\\textbf{(A)}\\ 6\\qquad \\textbf{(B)}\\ 8\\qquad \\textbf{(C)}\\ 10\\qquad \\textbf{(D)}\\ 12\\qquad \\textbf{(E)}\\ 14$\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>Triangle  <span class=\"katex--inline\">ABC</span>  has vertices  <span class=\"katex--inline\">A = (3,0)</span> ,  <span class=\"katex--inline\">B = (0,3)</span> , and  <span class=\"katex--inline\">C</span> , where  <span class=\"katex--inline\">C</span>  is on the line  <span class=\"katex--inline\">x + y = 7</span> . What is the area of  <span class=\"katex--inline\">\\triangle ABC</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 6\\qquad \\textbf{(B)}\\ 8\\qquad \\textbf{(C)}\\ 10\\qquad \\textbf{(D)}\\ 12\\qquad \\textbf{(E)}\\ 14</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": 2, "problem_name": "2009 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc12B_p10", "prev": "/problem/09_amc12B_p08"}}