Question 33
A circle $\mathcal{K}$ with diameter $AB$ is given. The points $C$ and $D$ lie on the circle $\mathcal{K}$ on the same side of the line $AB$, so that the line $BD$ is the bisector of the angle $\angle CBA$. The chords $AC$ and $BD$ intersect at the point $E$. What is the length of the segment $DE$ if $|AE|=169$ and $|CE|=119$?