{"status": "success", "data": {"description_md": "In $\\bigtriangleup ABC$ we have $AB = 7$, $AC = 8$, and $BC = 9$. Point $D$ is on the circumscribed circle of the triangle so that $AD$ bisects $\\angle BAC$. What is the value of $\\frac{AD}{CD}$?\n\n$\\mathrm{(A) \\ } \\frac{9}{8} \\qquad \\mathrm{(B) \\ } \\frac{5}{3} \\qquad \\mathrm{(C) \\ } 2 \\qquad \\mathrm{(D) \\ } \\frac{17}{7} \\qquad \\mathrm{(E) \\ } \\frac{5}{2}$", "description_html": "<p>In  <span class=\"katex--inline\">\\bigtriangleup ABC</span>  we have  <span class=\"katex--inline\">AB = 7</span> ,  <span class=\"katex--inline\">AC = 8</span> , and  <span class=\"katex--inline\">BC = 9</span> . Point  <span class=\"katex--inline\">D</span>  is on the circumscribed circle of the triangle so that  <span class=\"katex--inline\">AD</span>  bisects  <span class=\"katex--inline\">\\angle BAC</span> . What is the value of  <span class=\"katex--inline\">\\frac{AD}{CD}</span> ?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{9}{8} \\qquad \\mathrm{(B) \\ } \\frac{5}{3} \\qquad \\mathrm{(C) \\ } 2 \\qquad \\mathrm{(D) \\ } \\frac{17}{7} \\qquad \\mathrm{(E) \\ } \\frac{5}{2}</span> </p>\n<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": 4, "problem_name": "2004 AMC 10B Problem 24", "can_next": true, "can_prev": true, "nxt": "/problem/04_amc10B_p25", "prev": "/problem/04_amc10B_p23"}}