Answer :

Given: AB = 4 cm, AC = 6 cm, BD = 1.6 cm, and CD = 2.4 cm

Required: To verify if AD is the bisector of ∠A of ΔABC

Consider the ΔABC,

Here, and

Here, we can clearly see that

∴We can say that AD is the angle bisector of ∠A using Converse angle bisector theorem.

∴ Yes, AD is the angle bisector of ∠A

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