Question

the figures below are similar. the labeled sides are corresponding.
1 mm
3 mm
$p_1 = 3$ mm
$p_2 = ?$
what is the perimeter of the larger triangle?
$p_2 = \square$ millimeters

Explanation:

Step1: Find similarity ratio

$\text{Ratio} = \frac{\text{Side of larger triangle}}{\text{Side of smaller triangle}} = \frac{3}{1} = 3$

Step2: Relate perimeters to ratio

The ratio of perimeters of similar figures equals the similarity ratio. So, $P_2 = P_1 \times \text{Ratio}$

Step3: Calculate perimeter $P_2$

$P_2 = 3 \times 3 = 9$

Answer:

9 millimeters