1.

In Fig, check whether AD is the bisector of∠A of Δ ABC in each of the following: (i) AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm (ii) AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm (iii) AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm (iv) AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm (v) AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm

Answer»

(i) BD/DC=AB/AC 

1.5/3.5=5/10 

15/35*10/10=1/2 

3/7=1/2 

Not bisects 

(ii) 1.6/2.4=4/6 

16/24=2/3 

2/3=2/3 

bisects 

(iii) BD/CD=AB/AC 

BD/BC-BD=AB/AC 

BD/24-6=8/24 

6/18=1/3 

1/3=1/3

bisects 

(iv) 1.5/2= 6/8 

3/4=3/4 

bisects 

(v) BD/CD=AB/AC 

BD/BC-BD=AB/AC 

BD/9-2.5=5/12 

2.5/6.5=5/12 

5/13=5/12 

Not bisects



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