Question

Using Theorem 6.2. prove that the line joining the
mid-points of any two sides of a traagle is parallel
to the third side. (Recall that you have done it in
Class IX)​

Answer 1

Answer:

Let P is mid point of line AB and Q is mid point of  line AC .

PQ is line joining mid points P and Q of line AB and AC , respectively.

i.e.   and   .

 we have,

From equation 1 and 2 , we get 

 By basic proportionality theorem , we have PQIIBC

I HOPE IT'S HELP YOU

Answer 2

Answer:

Given: In △ABC,D and E are midpoints of AB and AC respectively,

i.e., AD=DB and AE=EC

To Prove: DE∥BC

Proof:

Since, AD=DB

∴  

DB /AD    =1............(1)

Also,

AE=EC

∴  

EC /AE      =1............(2)

From (1) and (2),

AD/DB    =     AE /EC    =1

i.e.,  

AD/AD   =   EC/AE

​  

 ∴ By converse of Basic Proportionality theorem,

DE∥BC

hope it helps

tq.............///////////