Question 8In triangle $ABC,$ $\angle C=90^\circ,$ $AC=6$ and $BC=8.$ Points $D$ and $E$ are on $\overline{AB}$ and $\overline{BC},$ respectively, and $\angle BED=90^\circ.$ If $DE=4,$ then $BD=$ $5$$\frac{16}3$$\frac{20}3$$\frac{15}2$$8$
