Given that triangle ABC is similar to triangle DEF, find the perimeter of triangle ABC.

Question

FD=16 AC=8

DE=12

FE=8

This is all that is given for the two triangles

Answer 1

If ABC is similar to triangle DEF, then we can see that when AC = 8, DF = 16, Triangle DFE has a ratio of 2:1 of Triangle ABC.

So when line DE = 12, line AB = 12/2 = 6

And line BC = EF/2 = 4

then we get the perimeter of ABC = 8 + 6 + 4 = 18 unit

Answer 2

Correspondin parts of similar figures are in proportion.

DF = 2AC

Sides of DEF are twice the size of the corresponding sides of ABC.