Question

In Triangle ABC, DE||BC, if AD=3.2
DB=4.8 , AC= 9.6 Find EC​

Answer 1

Answer:

Correct option is

A

3.6 cm

In △ABC we have DE∥BC

∴

BD

AD

=

EC

AE

[by basic proportionality theorem]

⇒

BD

2.4

=

4.8

3.2

⇒BD=

3.2

2.4×4.8

=3.6cm

Answer 2

Answer:

5.76

Step-by-step explanation:

AD=3.2

DB=4.8 , AC= 9.6

First, AE=x, EC=9.6-x

As, DE||BC

AD/DB= AE/EC

or, 3.2/4.8= x/(9.6-x)

or, 2/3= x/(9.6-x)

or, 3x= 19.2-2x

or, 5x= 19.2

or, x= 3.84

So, AE=3.84

EC=9.6-3.84=5.76(Ans)