{"status": "success", "data": {"description_md": "The isosceles right triangle $ABC$ has right angle at $C$ and area $12.5$. The rays trisecting $\\angle ACB$ intersect $AB$ at $D$ and $E$. What is the area of $\\bigtriangleup CDE$?\n\n$\\textbf{(A) }\\dfrac{5\\sqrt{2}}{3}\\qquad\\textbf{(B) }\\dfrac{50\\sqrt{3}-75}{4}\\qquad\\textbf{(C) }\\dfrac{15\\sqrt{3}}{8}\\qquad\\textbf{(D) }\\dfrac{50-25\\sqrt{3}}{2}\\qquad\\textbf{(E) }\\dfrac{25}{6}$", "description_html": "<p>The isosceles right triangle  <span class=\"katex--inline\">ABC</span>  has right angle at  <span class=\"katex--inline\">C</span>  and area  <span class=\"katex--inline\">12.5</span> . The rays trisecting  <span class=\"katex--inline\">\\angle ACB</span>  intersect  <span class=\"katex--inline\">AB</span>  at  <span class=\"katex--inline\">D</span>  and  <span class=\"katex--inline\">E</span> . What is the area of  <span class=\"katex--inline\">\\bigtriangleup CDE</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) }\\dfrac{5\\sqrt{2}}{3}\\qquad\\textbf{(B) }\\dfrac{50\\sqrt{3}-75}{4}\\qquad\\textbf{(C) }\\dfrac{15\\sqrt{3}}{8}\\qquad\\textbf{(D) }\\dfrac{50-25\\sqrt{3}}{2}\\qquad\\textbf{(E) }\\dfrac{25}{6}</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": 3, "problem_name": "2015 AMC 10A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc10A_p20", "prev": "/problem/15_amc10A_p18"}}