Question

if a b is equal to 10 centimetre AC is equals to 14 cm and BC is equals to 6 cm find BD and DC

Answer 1

well here is ur answer......
In ∆ ABC we have AD as bisector of ∠BAC
Therefore,
ABAC=BDCD
Now, AB = 10cm , AC = 14cm , BC = 6cm
​Let BD = x cm, then CD = (6 - x) cm

Now, ABAC=BDCD
1014=x6−x

57=x6−x
5 (6-x) = 7x
30 - 5x = 7x
12x = 30
x = 2.5 cm

Hence, BD = 2.5 cm and CD = 6 - 2.5 = 3.5 cm

hope it helps u..........!