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#38763

similarity

triangle

medium

120 sec

In right triangle $A BC$ , angle $C$ is the right angle and $BC = 108$ . 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 $BC$ . If $A E = \frac{2}{3} A C$ , what is the length of line segment $D E$ ?

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