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#33429

area

similarity

geometry

hard

180 sec

In triangle $A BC$ , angle $C$ is a right angle. Point $D$ lies on $A B$ , point $E$ lies on $BC$ , and $D E$ is parallel to $A C$ . If the length of $A C$ is 60 units, the length of $D E$ is 25 units, and the area of triangle $A BC$ is 1080 square units, what is the length of $CE$ , 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.