Question

$\triangle bcd \sim \triangle gih$. find $bd$.
$bd = \square$
submit

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{CD}{GH} = \frac{25}{10} = \frac{5}{2}$

Step2: Relate BD to corresponding side

Corresponding side to $BD$ is $HI$. Use ratio:
$BD = HI \times \text{Ratio}$
$BD = 5 \times \frac{5}{2}$

Step3: Calculate final value

$BD = \frac{25}{2} = 12.5$

Answer:

$12.5$