Question

In triangle ABC,AD is perpendicular bisector of BC show that AB=AC

Answer 1

Answer:

Given, in triangle ABC, AD is the perpendicular bisector of BC

Therefore LADB=LADC=90° & BD=DC

From triangle ABD & ACD

AD=AD[common]

LADB=LADC[90°each]

BD=DC[Given] Therefore triangle ABD is congruent to triangle ACD

By CPCT; AB=BC,proved.