Question

IN Fig .8.37 , the sides BA and CA have been produced such that BA =AD and CA=AE. Prove that DE// BC​

Answer 1

Answer:

in triangle AED and ABC

AC=EA

DA=AB

and Angle EAD= BAC

Hence triangle AED is congruent ABC

THEREFOR

Angle D =Angle B.....1.c.a.c.t corresponding angle of congruent triangle

Hence BC II DE.....from 1 alternate angle test