In triangle ABC. AD is the internal bisector of ∠A meeting BC at D. If BD = 3.6 cm and BC = 8 cm, then the ratio of AB to AC will be:
Answer & explanation
Correct answer: option 4
We know that,
In ΔABC, if AD is the internal bisector of ∠A meeting BC at D, then AB/AC = BD/DC AD is the internal bisector of ∠A meeting BC at D
We have,
BD = 3.6 cm and BC = 8 cm
According to the question,
DC = BC – BD
= DC = 8 – 3.6 = 4.4
So, AB/AC = BD/DC
= AB/AC = 3.6/4.4
= AB : AC = 3.6 : 4.4
= AB : AC = 9 : 11