Question

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

AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm

Answer 1

It is given that, AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm

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

First we will check proportional ratio between sides.

Now

DC = BC - BD

DC = 24 - 6 = 18

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

`rArr8/24=6/18`

`rArr1/3=1/3`

(It is proportional)

Hence, AD is bisector of ∠A.