Question

in the triangle ABC AB is equal to AC ad is the angular bisector of angle A B AC meeting BC in dene prove that ad is equal to BC and BD is equal to CD​

Answer 1

1) 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