【Question 8】
As shown in the figure, in $\triangle A B C$, $\angle A B C=90^{\circ}, B C=8$. $D$ and $E$ are points on $A B$ and $A C$ respectively, such that $C D=D E$, $\angle D C B=\angle E D A$. If the area of $\triangle E D C$ is 50, then the length of $A B$ is $\qquad$.