In △ABC, AB=3 cm, AC=4 cm and AD is the bisector of ∠A. Then, BD=DC.
False
True
Using angle bisector theorem, BDDC=ABAC=34
So, BD:DC=3:4
Since, BD:DC≠1:1
Hence, BD≠DC
Thus, the given statement is False
In a ΔABC, AD is the bisector of ∠A.
(i) If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.
(ii) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.
(iii) If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.
(iv) If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.