Question

in the figure below, △abc is similar to △xyz. what is the length of zx? enter only the number as an integer or decimal.

Explanation:

Step1: Find the similarity ratio

The ratio of corresponding sides of similar triangles is the same. The ratio of side $AB$ to side $XY$ is $\frac{2}{7}$.

Step2: Set up proportion

Let the length of $\overline{ZX}$ be $x$. We know that $\frac{AC}{XZ}=\frac{AB}{XY}$. Substituting the known values, we have $\frac{3}{x}=\frac{2}{7}$.

Step3: Cross - multiply and solve

Cross - multiplying gives $2x = 3\times7$, so $2x=21$. Then $x=\frac{21}{2}=10.5$.

Answer:

$10.5$