Question

If DB = 24, AE = 3, and EC= 18, what is AD?

Answer 1

`AD=4`

Explanation:

According to the Triangle Proportionality Theorem parallel lines cut triangles into proportional parts.

We can see in the diagram that `DE` and `BC` are parallel.

So we can assume:

`(AD)/(DB)=(AE)/(EC)`

From there we can just solve:

`(AD)/(24)=(3)/(18)`

`AD=(3*24)/(18)`

`AD=(72)/(18)`

`AD=4`