In a ΔABC, AD is the bisector of ∠ A. If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.

Question

Philoid · Accepted Answer

Given: AB = 5.6 cm, AC = 4 cm and DC = 3 cm

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

Substituting given values, we get

⇒

⇒ BD = 4.2

Now, BC = BD + DC

⇒ BC = 4.2 + 3 = 7.2

Thus, BC is 7.2 cm.