By the converse of the basic proportionality theorem, we can say DE║AB.
We need to check whether DE is parallel to AB.
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.
In triangle ABC, we can see on side AC, D is midpoint (∵AD=DC) and on side BC, E is midpoint (∵BE=CE).
Therefore, by the converse of the basic proportionality theorem, we can say DE║AB.
To learn more about the parallel lines visit:
https://brainly.com/question/16701300.
#SPJ1
The proof is shown below:
The line segment joining the mid points of any two sides of a triangle is parallel to the third side.
△ABC in which D and E are the mid points of AB and AC,.
If D and E are the mid points of AB and AC,
then AD=DB and AE=EC.
Thus,
AD/DB = AE/ EC
by the converse of Thales theorem, DE∥BC.
As, by theorem we can say that DE∥BC.
So, there is no other side parallel to DE.
Learn more about mid point theorem here:
https://brainly.com/question/13677972
#SPJ1
