In a ΔABC, AD is the bisector of ∠ A. If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.

Question

Philoid · Accepted Answer

Given: AB = 5.6 cm, BC = 6 cm and BD = 3.2 cm

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

Substituting given values, we get

Here, DC is given by

DC = BC – BD

⇒ DC = 6 – 3.2 = 2.8

⇒

⇒ AC = 4.9

Thus, AC is 4.9 cm.