Loading...

#38764

similarity

triangle

hard

180 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 the area of triangle $A D E$ is $\frac{4}{25}$ of the area of triangle $A BC$ , and $BC = 150$ , 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.