Question

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Answer 1

Answer:

Prove that TriangleABD is congurent to TraingleACD

In TriangleABD and ACD

AD=AD(Common)

AB=AC(Isosceles Triangle)

And AngleDAB = AngleDAC (Since AD Is the angle bisector)

So TraingleACD is congurent to TraingleABD

Therefore BD = CD (CPCT)

Therefore D is the mid point of BC

Answer 2

Using Angular Bisectors Theorem.