Question

If triangle TSR ~ triangle TFE, find the
perimeter of triangle TFE

Answer 1

The perimeter of triangle TFE is 82.

Since triangles TSR and TFE are similar, we can use the following proportion to find the length of FE:

FE / SR = TE / TS

Substituting the given values, we get:

FE / 54 = 25 / 40

Solving for FE, we get:

FE = (54 * 25) / 40 = 35

Therefore, the perimeter of triangle TFE is:

Perimeter = FE + ET + FT = 35 + 22 + 25 = 82