Geometry
# Congruent and Similar Triangles

$\overline{AB}$ is parallel to $\overline{DE}$, $AC=5,$ and $CD=13.$

If the area of $\triangle ABC$ is $11,$ what is the area of $\triangle CDE$ ?

In the right triangle above, a height is drawn to the hypotenuse. Find $x+y+z.$