Question

OR
1 In AABC, AD is the perpendicular bisector of BC. Show that, LABC is an
isosceles triangle in which AB=Ac.223​

Answer 1

Step-by-step explanation:

In tri. ADB and tri. ADC

AD = AD ( common side )

ang. ADB = ang. ADC = 90°

BD = CD ( AD bisect BC into two equal parts)

By S.A.S criteria ADB congruent to ADC

By C.P.C.T

AB = BC

Hence , it is proved triangle ABC is isosceles .

Answer 2

Step-by-step explanation:

Given, AD is perpendicular to BC

by using theorem, we can say that AD bisect the line BC in two equal halfs . by this, BD=DC

by CPCT,

BD = DC ( theorem used)

AD = AD (common side)

By SSS congruence, AC = AB