Question

In angle ABC,ABC is the perpendicular bisector of BC (see figure. 5.30)show that angle ABC is an isosceles triangle in which AB-AC

Answer 1

In triangle ABD and triangle ACE
angle ADB= angle AEC = 90 degree (given)
angle BAD = angle CAE (common)
BD=CE (given)
triangle ABD is congruence to triangle ACE
(AAS)
AB =AC (CPCT)
hence, triangle ABC is isosceles.