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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 - Mathematics

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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

Solution

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.

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.3 | Q: 4.4 | Page no. 31
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.3 | Q: 4.4 | Page no. 31
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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 Concept: Angle Bisector.
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