Prove that the line segment joining the mid points of any two sides of a triangle is parallel to the third side.

Asked by Topperlearning User | 26th Jul, 2017, 01:40: PM

Expert Answer:

In ABC, D and E are mid points of AB and AC respectively

 to prove DE II BC.

 as D is mid point of AB (1)

Similarly      (2)                    

Hence from (1) and (2)

 by converse of BPT

DE II BC.  Hence proved.

Answered by  | 26th Jul, 2017, 03:40: PM