MCQ
In ∆ABC, D and E are points on side AB and AC respectively such that DE || BC and AD : DB = 3 : 1. If EA = 3.3 cm, then AC =
Options
1.1 cm
4 cm
4.4 cm
5.5 cm
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Solution
Given: In ΔABC, D and E are points on the side AB and AC respectively such that DE || BC and AD : DB = 3 : 1. Also, EA = 3.3cm.
To find: AC
In ∆ABC, DE || BC.
Using corollory of basic proportionality theorem, we have
`(AD)/(AB)=(EA)/(AC)`
`(AD)/(AD+1/3AD)=3.3/(AC)`
`EC =4.4 cm`
Hence the correct answer is `C`
Concept: Triangles Examples and Solutions
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