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#33426

area

similarity

geometry

easy

60 sec

In triangle $A BC$ , angle $C$ is a right angle. Point $D$ lies on $A B$ , and point $E$ lies on $BC$ , such that $D E$ is parallel to $A C$ . If the length of $A C$ is 12 units, the length of $D E$ is 4 units, and the length of $BC$ is 15 units, what is the length of $EC$ , in units?

• 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.