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.
the solution is

Explanation:

Step1: Identify the ratio of corresponding sides

Since $\triangle ABC\sim\triangle XYZ$, the ratio of corresponding sides is the same. We can use the ratio of the sides of $\triangle ABC$ and $\triangle XYZ$. For example, $\frac{BC}{YZ}=\frac{12}{3} = 4$.

Step2: Use the ratio to find $ZX$

We know that $\frac{AC}{ZX}=\frac{BC}{YZ}$. Let $ZX = n$. We have $\frac{13}{n}=4$. Cross - multiplying gives $13 = 4n$. Then $n=\frac{13}{4}=3.25$.

Answer:

$3.25$