The two triangles are similar but not drawn to scale. What is the scale factor needed to perform a dilation from the triangle with side length 26 inches to the triangle with side length 106.6 inches?

Answer 1

To find the scale factor, we need to divide the corresponding side lengths of the two triangles.

Let x be the scale factor.

We have the equation:

x = 106.6 / 26

Simplifying this:

x = 4.1

Therefore, the scale factor needed to perform the dilation from the triangle with side length 26 inches to the triangle with side length 106.6 inches is 4.1.