△abc and △xyz are similar. find the missing side length. (the triangles are not drawn to scale.)

Explanation:

Step1: Set up proportion

Since the triangles are similar, the ratios of corresponding sides are equal. Let the missing side length be $x$. We have $\frac{AB}{XY}=\frac{AC}{XZ}$. Substituting the given values: $\frac{6}{2}=\frac{9}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $6x = 2\times9$.

Step3: Solve for $x$

$6x=18$, then $x=\frac{18}{6}=3$.

Answer:

3