Question

In the figure given below DE || BC. If AD = 2.4 cm, DB = 3.6 cm and AC = 5 cm. Find AE.

Answer 1

GIVEN: AD = 2.4 cm, BD = 3.6 cm and AC = 5 cm.

TO FIND: AE

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.

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

`2.4/(2.4+3.6)=(AE)/(AC)`

`2.4/6=(AE)/(5)`

`AE=2`

`AE= 2  cm`