Question

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

Answer 1

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`