Question

Triangle ABC is similar to triangle DEF. The length of AC is 9 cm. The length of BC is 12 cm. The length of DF is 18 cm.

What is the length of EF?

Answer 1

EF = 24

Explanation:

The triangle is dilated by 2. 9 x 2 = 18, therefore AC to DF is a dilation of 2. For a triangle to be similar to another, all sides must be dilated the same, meaning BC must as well. BC is similar to EF therefore 12 x 2 = 24. so EF is 24.