Please answer the foll:question
Let the point of intersection of DF and AE be G.(say)
D and F are given as midpoints of AB and AC.
So DF is parallel to BC and half of it (mid point thm)
Now consider triangle ABE.
D is the mid point of AB and DG parallel to BE.
So G must be the mid point of AE( converse of mid point thm)
So we can say that DF bisects AE.
E is the mid point of BCand G is the mid point of AE.
AE bisects DF
Thus we have proved that
AE and DF bisect each other.
You have rated this answer /10