Question

e. In triangle ABC, AB=AC and AD is bisector of <A. Prove that D
is the midpoint of BC and AD perpendicular to BC.​

Answer 1

Step-by-step explanation:

) As AD is the bisectoe of angle A

therefore,

angle BAD = angle DAC

hence,

BD=DC (sides opposite to equal angles are equal)..........(i)

Now,

BD+DC=BC

BD+BD=BC (from (i))

2BD=BC

therefore,

D is the midpoint of BC.......(A)

And AD is the bisector of BC..........(B)

from,

(A) and (B)

hence proved......