Loading...

#31694

similarity

geometry

hard

120 sec

Triangle $A BC$ is similar to triangle $X Y Z$ , where $A, B$ , and $C$ correspond to $X, Y$ , and $Z$ , respectively. The length of $\overline{A B}$ is $2 x + 1$ and the length of $\overline{BC}$ is $3 x - 2$ . The length of $\overline{X Y}$ is 15 and the length of $\overline{Y Z}$ is 20. If the perimeter of triangle $X Y Z$ is 60, what is the length of $\overline{A C}$ ?

• 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.