What is the length of PR?
A: 13.5 inches
B: 7.5 inches
C: 10.5 inches
D: 9.5 inches

The correct option is;

C: 10.5 inches

Step-by-step explanation:

In triangle ΔPQR the given parameters are;

The length of = 19.5 in.

The length of = 7.5 in.

In triangle ΔVWX, the given parameters are;

The length of = 13 in.

The length of = 5 in.

The length of = 7 in.

Given that we have;

The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, and ;

∴ = 7 × 1.5 = 10.5

The length of = 10.5 inches

a

step-by-step explanation: