#### Question

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

AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm

#### Solution

It is given that AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm

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

First we will check proportional ratio between sides.

Now

`"AB"/"AC"=5/12`

`"BD"/"CD"=2.5/9=5/18`

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

Hence AD is not the bisector of ∠A.

Is there an error in this question or solution?

#### APPEARS IN

Solution In the Following Figure, Check Whether Ad is the Bisector of ∠A of ∆Abc in the Following Case: Ab = 5 Cm, Ac = 12 Cm, Bd = 2.5 Cm and Bc = 9 Cm Concept: Angle Bisector.