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

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Answer 1 · 2015-11-15T00:50:07

#AD=4#

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#