In a ΔABC it is given that AD is the internal bisector of ∠A. If BD = 4 cm, DC = 5 cm and AB = 6 cm, then AC = ?

Question

In a ΔABC it is given that AD is the internal bisector of ∠ A. If BD = 4 cm, DC = 5 cm and AB = 6 cm, then AC = ?

Philoid · Accepted Answer

By internal angle bisector theorem, the bisector of vertical angle of a triangle divides the base in the ratio of the other two sides”
Hence in ΔABC, we have

⇒ x = 7.5cm