Question

prove mid points theorem​

Answer 1

Step-by-step explanation:

Mid point Theorem :

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

Given :

A △ABC in which D and E are the mid points of AB and AC, respectively.

To prove :

DE∥BC.

Proof :

Since D and E are the mid points of AB and AC, respectively, we have AD=DB and AE=EC.

Therefore,

DB

AD

=

EC

AE

( each equal to 1 )

Therefore, by the converse of thales theorem, DE∥BC.