Question

question id: 1192057
topic: triangles
progress
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in the figure below, $\triangle abc$ is similar to $\triangle xyz$. what is the length of $overline{zx}$? enter only the number as an integer or decimal.
the solution is

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{XY}{AB} = \frac{1.25}{8}$

Step2: Calculate length of $ZX$

$ZX = AC \times \text{Ratio} = 13 \times \frac{1.25}{8}$
$ZX = 13 \times 0.15625 = 2.03125$

Answer:

2.03125