In Fig. AB= AC and AD is the bisector ofZBAC.State three pairs of equal partsin triangles ADB and ADC.(ii): Is AADB AADC? GivereasonsIs B= 2C? Give reasons. About the author Madeline

Here in \Delta ADB and \Delta ADC. i) Three pair of equal parts are: AD = AD ( common side ) BD = CD ( as d is the mid point of BC) AB = AC (given in the question) ii) Now, by SSS Congruency rule, \Delta ADB\cong \Delta ADC iii) As both triangles are congruent to each other we can compare them and say \angle B = \angle C. Reply

Here in \Delta ADB and \Delta ADC.

i) Three pair of equal parts are:

AD = AD ( common side )

BD = CD ( as d is the mid point of BC)

AB = AC (given in the question)

ii) Now,

by SSS Congruency rule,

\Delta ADB\cong \Delta ADC

iii) As both triangles are congruent to each other we can compare them and say

\angle B = \angle C.