Question

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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm. What is the measure of side YZ ? Enter your answer in the box.

Answer 1

Answer: 36 cm

Step-by-step explanation:

Since, $\triangle ABC\sim \triangle XYZ$

In the similar triangles the corresponding sides are in the same proportion,

$\implies \frac{AB}{BC} = \frac{XY}{YZ}$

$\implies \frac{6}{18} = \frac{12}{YZ}$

$\implies 6YZ =18\times 12$

$\implies 6YZ =216$

$\implies YZ=36\text{ cm}$