In ∆ABC, it is given that AD is the internal bisector of ∠A. If BD – InterviewSolution

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In ∆ABC, it is given that AD is the internal bisector of ∠A. If BD = 4cm, DC = 5cm and AB = 6cm, then AC = ? (a) 4.5cm (b) 8cm (c) 9cm (d) 7.5cm

Answer»

(d) 7.5 cm

It is given that AD bisects angle A

Therefore, applying angle bisector theorem, we get:

BD/DC = AB/AC

⇒ 4/5 = 6/x

⇒ x = 5 × 6/4 = 7.5

Hence, AC = 7.5 cm

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