Question 52f83401

In right triangle $A B C$ , angle $C$ is the right angle and $upper B upper C equals 162$ . Point $D$ on side $A B$ is connected by a line segment with point $E$ on side $A C$ such that line segment $D E$ is parallel to side $B C$ and $upper C upper E equals 2 upper A upper E$ . What is the length of line segment $D E$ ?

Geometry and Trigonometry - Lines, angles, and triangles