Question

In the following figure, check whether AD is the bisector of ∠A of ∆ABC in the following case:

AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm

Answer 1

 It is given that AB = 5cm, AC= 10cm, BD = 1.5cm and CD = 3.5cm.

We have to check whether AD is bisector of ∠A.

First we will check proportional ratio between sides.

Now

`"AB"/"AC"=5/10=1/2`

`"BD"/"CD"=1.5/3.5=3/7`

Since `"AB"/"AC"!="BD"/"CD"`

Hence AD is not the bisector of ∠A.