Question

In the diagram BC // RE what is AE?

Enter your answer in the box.

Answer 1

The answer to this is 18

Answer 2

`AE=18\ units`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

In this problem

Triangles ABC and ADE are similar

so

`(AE)/(AC)=(AD)/(AB)`

substitute the values and solve for AE

`(AE)/(AE+3)=(6)/(7)\\ \\7AE=6AE+18\\ \\ 7AE-6AE=18\\ \\ AE=18\ units`