The perimeter of an equilateral triangle is 12 inches. After a dilation, the
perimeter of the image is 42 inches. What is the scale factor of the dilation?

Respuesta :

Based on the change in the perimeter, the scale factor of the dilation is 3.5.

The scale factor of the dilation refers to the number of times the triangle was dilated such that it went from 12 inches to 42 inches.

This dilation can be found as:

= Increased perimeter / Original perimeter

Solving for it would give:

= 42 / 12

= 3.5

In conclusion, the scale factor of the dilation is 3.5.

Find out more at https://brainly.com/question/8765466.