Question

Triangle VUW is similar to triangle SUT. (VUW~SUT)
Find the length of UV.

Answer 1

UV=66

Explanation:

We can use ratios to solve this problem

UV VW

------------ = ---------------

SU ST

Substituting what we know

UV 88

------------ = ---------------

18 24

Using cross products

(UV)*24 = 18*88

Divide each side by 24

(UV)*24/24 = 18*88/24

UV =66

This is the length of UV