Question

Triangle ABC is similar to triangle DEF.Find the perimeter of triangle DEF

Answer 1

If two triangles are similar, their corresponding sides are in the same ratio. Therefore, if triangle ABC is similar to triangle DEF, the ratio of the side lengths of triangle DEF to triangle ABC is the same.

Let the ratio of the corresponding sides be x:

AB/DE = BC/EF = AC/DF = x

If we know the perimeter of triangle ABC is P, then the perimeter of triangle DEF would be xP.

Therefore, the perimeter of triangle DEF = xP

Without knowing the specific ratios of the sides or the perimeter of triangle ABC, we cannot calculate the perimeter of triangle DEF.