Question

AP is the bisector of angle BAC such that AP is perpendicular BC .Is triangle ABC is isosceles triangle?give reason?

Answer 1

Yes triangle ABC is an isosceles triangle
In triangle APC and APB
AP=AP (common )
angle APC=angle APB
angle PAC=angle PAB
Hence triangles are congruent by ASA Congruency.
Then AB=AC (c.p.c.t)
Answer=Hence proved
Hope this had helped you ☺

Answer 2

Answer:

Yes triangle ABC is an isosceles triangle

In triangle APC and APB

AP=AP (common )

angle APC=angle APB

angle PAC=angle PAB

Hence triangles are congruent by ASA Congruency.

Then AB=AC (c.p.c.t)

HENCE PROVED