Using BPT prove that a line segment drawn through the mid points of one side of a triangle parallel to another side bisects the third side

Asked by Topperlearning User | 2nd Dec, 2013, 03:07: AM

Expert Answer:

Let ABC be a triangle in which D is mid point of AB

 DE || BC.  To prove E is mid point of AC.

          In ABC                                               

          DE || BC

           (By BPT)

          Since AD = DB

  Therefore E is the mid point of AC.

 

Answered by  | 2nd Dec, 2013, 05:07: AM