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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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