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#20784

similarity

triangle

hard

240 sec

In right triangle $A BC$ , angle $C$ is the right angle and $BC = 180$ . 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 $BC$ and $A E = \frac{1}{2} EC$ . What is the length of line segment $D E$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.