Question 16In $\triangle ABC$ with a right angle at $C,$ point $D$ lies in the interior of $\overline{AB}$ and point $E$ lies in the interior of $\overline{BC}$ so that $AC=CD,$ $DE=EB,$ and the ratio $AC:DE=4:3.$ What is the ratio $AD:DB?$$ 2:3 $$ 2:\sqrt{5} $$ 1:1 $$ 3:\sqrt{5} $$ 3:2 $