Answer :

Given: AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 3 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 not the angle bisector of ∠A using Converse angle bisector theorem.

∴ No, AD is not the angle bisector of ∠A

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