In a ∆ABC, AD is the bisector of ∠A. If AB = 10 cm, AC = 14 cm and – InterviewSolution

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In a ∆ABC, AD is the bisector of ∠A. If AB = 10 cm, AC = 14 cm and BC – 6 cm, find BD and DC.

Answer»

If AB = 10 cm, AC = 14 cm and BC – 6 cm, find BD and DC.

By angle-bisector theorem

BD/DC = AB/AC = 10/14

Let BD = x cm and DC = (6-x) (As BC = 6 cm given)

x/(6-x) = 10/14

14x = 10(6 – x)

14x = 60 – 10x

14x + 10x = 60

or x = 2.5

Or BD = 2.5

Then DC = 6 – 2.5 = 3.5 cm

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