Question

In the adjoining figure, find AC.

In the following figure, find AC.

Answer 1

GIVEN: In the figure we are given AD = 6 cm, BD = 9 cm, AE = 8 cm

TO FIND: AC

According to BASIC PROPORTIONALITY THEOREM, if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

In ∆ABC, DE || BC. So,

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

`6/9=8/(EC)`

`EC=(8xx9)/6`

`EC=12  cm`

Now,

`AC=AE+EC`

`AC=8+12`

`AC=20  cm`