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?
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.