Example Question - triangle comparison

Calculating Scale Factor Between Two Triangles

The image shows two similar triangles with corresponding side lengths given. To find the scale factor, we can divide the length of a side of one triangle by the corresponding side length of the other triangle. From triangle CDE: CD = 10 DE = 12 CE = 5 From triangle VUT: VU = 9.6 UT = 8 VT = ? (we don't know this length, and we don't need it to find the scale factor). Let's use the sides CD and VU for our calculation since both of these corresponding sides are given: VU (from triangle VUT) / CD (from triangle CDE) = 9.6 / 10 = 0.96 Therefore, the scale factor from triangle CDE to triangle VUT is 0.96.