In a ∆ABC, AD is the bisector of ∠A. If AB = 6.4 cm, AC = 8 cm and – InterviewSolution

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1.

In a ∆ABC, AD is the bisector of ∠A. If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

Answer»

If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

AD bisects ∠A, we can apply angle-bisector theorem in ∆ABC,

BD/DC = AB/AC

Substituting given values, we get

5.6/DC = 6.4/8

DC = 7 cm

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