Question

△ 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. the measure of side yz = \boxed{} cm

Explanation:

Step1: Recall Similar Triangles Property

For similar triangles, corresponding sides are proportional. So, $\frac{AB}{XY} = \frac{BC}{YZ}$.

Step2: Substitute Known Values

We know $AB = 6$ cm, $BC = 18$ cm, $XY = 12$ cm. Substitute into the proportion: $\frac{6}{12} = \frac{18}{YZ}$.

Step3: Solve for YZ

Cross - multiply: $6\times YZ = 12\times18$. Then $6YZ = 216$. Divide both sides by 6: $YZ=\frac{216}{6}=36$.

Answer:

36