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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 = (A) 1.1 Cm (B) 4 Cm (C) 4.4 Cm (D) 5.5 Cm - Mathematics

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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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 9 | Page 132
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