Q. 4 B4.4( 12 Votes )

# In a ΔABC, AD is

Answer :

Given: AB = 10 cm, AC = 14 cm and BC = 6 cm

Since AD bisects A, we can apply angle-bisector theorem in ∆ABC, Substituting given values, we get To find BD and DC,

Let BD = x cm, and it’s given that BC = 6 cm, then DC = (6 – x) cm

Then 14x = 10(6 – x)

14x = 60 – 10x

14x + 10x = 60

24x = 60

x = 60/24 = 2.5

BD = 2.5 cm

If BD = 2.5 cm and BC = 6 cm, then DC = (6 – x) = (6 – 2.5) = 3.5

Thus, BD is 2.5 cm and DC = 3.5 cm.

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