Question

triangle abc,p and q are the middle point of ab and ac prove that pq parallel bc​

Answer 1

Given :- ∆ abc such that p is mid point on ab and q is mid point on ac

To prove :- pq || bc

Proof :- In triangle abc,

since, p is mid point on ab and q is mid point on ac

Therefore, ap = aq — (1)

and bp = cq — (2)

Now, from (1) and (2), we have

ap/bp = aq/cq

Then;

pq || bc ( by converce of Thales theorem )

Hence, proved