Question

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

AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm

Answer 1

It is given that, AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm.

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

First we will check proportional ratio between sides.

So `"AB"/"AC"="BD"/"DC"`

`rArr6/8=1.5/2`

`rArr3/4=3/4`

(It is proportional)

Hence AD is bisector of ∠A.