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Question
In the figure given below DE || BC. If AD = 2.4 cm, DB = 3.6 cm, AC = 5 cm. Find AE.
Solution
GIVEN: AD = 2.4cm, BD = 3.6cm and AC = 5cm.
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= 2cm`
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