The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor? Click Here for Help Video

14
14 inches

43.4
43.4 inches


The scale factor to go from the triangle on the left to the triangle on the right is
.

1 answer

To find the scale factor from the left triangle to the right triangle, you divide the length of a side of the right triangle by the length of the corresponding side of the left triangle.

Given:

  • Left triangle side length = 14 inches
  • Right triangle side length = 43.4 inches

Scale factor = (side length of right triangle) / (side length of left triangle)

Scale factor = 43.4 inches / 14 inches

Calculating this gives:

Scale factor = 3.1

Thus, the scale factor to go from the triangle on the left to the triangle on the right is 3.1.