Question - Calculating Scale Factor Between Two Triangles

Solution:

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 = 10DE = 12CE = 5From triangle VUT:VU = 9.6UT = 8VT = ? (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 = 0.96Therefore, the scale factor from triangle CDE to triangle VUT is 0.96.

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