Question

In the given figure, ABC is an isosceles triangle in which AB = AC. Also, D is a point such that
BD = CD. Prove that AD bisects LA and ZD.
the give​

Answer 1

Answer:

given

ABC is an isosceles triangle in which AB = AC. Also, D is a point such that

BD = CD.

TO Prove

AD bisects angle A and angle D

proof

In triangle ABO and triangle ACO

AB=AC

AO=AO(common)

BO=OC

since,∆ABO congruent to ∆ACO

So,angle BAO = angle CAO (by CPCT )

hence angle A is bisected by AD

similarly,

∆BDO congruent to ∆DCO

and angle BDO = angle CDO (by CPCT)

hence angle D is also bisected by AD

proved