The isosceles right triangle A B C has right angle at C and area 12.5. The rays trisecting \angle A C B intersect A B at D and E. What is the area of \triangle C D E ?
Answer Choices
A. \dfrac{5 \sqrt{2}}{3}
B. \dfrac{50 \sqrt{3}-75}{4}
C. \dfrac{15 \sqrt{3}}{8}
D. \dfrac{50-25 \sqrt{3}}{2}
E. \dfrac{25}{6}