Question

In triangle ABC , AB=AC and D is the midpoint of BC.
(i) state 3 pairs of equal parts in triangle ADC
(ii) is triangle ADB = ADC
(iii) is angle b = angle c ? why?​

Answer 1

(i) AD=AD(common)

AB=AC(given)

Angle ABC=Angle ACD(angles opposite to equal sides are also equal)

(ii) Yes, by SSA postulate, Triangle ADB=ADC

(iii) Yes, Angle B=Angle C

Because,angles opposite to equal sides are also equal

and by CPCT.

Answer 2

Step-by-step explanation:

given = side AB = side AC

the answer is

1) side ( AB )= side ( AC ) ...... ( given)

side ( AD ) = side ( AD ) ....... ( common side)

ABC = ADC.......

2) yes

triangle ABC = triangle ADC ......... ( by SAS test )

3) Angle B = Angle C ....... ( c. a. c. t)

( corresponding angle of congurent triangle)