Question 19The 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 $\triangle CDE?$$\dfrac{5\sqrt{2}}{3}$$\dfrac{50\sqrt{3}-75}{4}$$\dfrac{15\sqrt{3}}{8}$$\dfrac{50-25\sqrt{3}}{2}$$\dfrac{25}{6}$