In Fig. 4.60, check whether AD is the bisector of 
of 
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
(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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