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

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1 Answer
Nov 15, 2015

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