Question

Given ΔRST is similar to ΔUVW with RT = 9 inches, UW = 5.4 inches, and RS = 6 inches.

Which is the length of UV¯¯¯¯¯¯¯¯
?
Responses

3.6 inches
3.6 inches

2.4 inches

Answer 1

Because triangle SRT and VUW are similar, all sides of triangle SRF are scaled up by an amount.

We calculate the scale factor : 9/5.4 = 5/3

-> The corresponding side of SR (UV) is scaled down 5/3 times from the length of SR
-> UV = 6 : 5/3 = 3.6 (inches).