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
Answers & Comments
Vinu4141
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
Answers & Comments
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..........!