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#38762

similarity

triangle

medium

90 sec

In right triangle $A BC$ , angle $C$ is the right angle. 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 $D E = 35$ and $A C = 5 A E$ , what is the length of line segment $BC$ ?

• 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.