Question

triangles rst and xyz are similar.
what is the length of side \\(\overline{xz}\\)?
\\(\bigcirc\\) a. 7.2 cm
\\(\bigcirc\\) b. 9.6 cm
\\(\bigcirc\\) c. 13.6 cm
\\(\bigcirc\\) d. 16.1 cm

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{XY}{RS} = \frac{16.0}{6.0} = \frac{8}{3}$

Step2: Relate corresponding sides

$\frac{XZ}{RT} = \frac{8}{3}$

Step3: Solve for $XZ$

$XZ = RT \times \frac{8}{3} = 3.6 \times \frac{8}{3}$

Answer:

B. 9.6 cm