Question

unit: geometry
progress
question id: 192072
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
in the figure below, $\triangle abc$ is similar to $\triangle xyz$. what is the length of $zx$? enter only the number as an integer or decimal.
the solution is

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{XY}{AB} = \frac{7}{2}$

Step2: Set up proportion for $ZX$

$\frac{ZX}{AC} = \frac{7}{2}$

Step3: Solve for $ZX$

$ZX = \frac{7}{2} \times 3 = 10.5$

Answer:

10.5