In a ΔABC, AD is the bisector of ∠A.

If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

Given: AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm

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

Substituting given values, we get

⇒

⇒ DC = 7

Thus, DC is 7 cm.