Question -
Answer -
We have
as follows:Through A,B and C lines are drawn parallel to BC,CA and AB respectively intersecting at P,Q and R respectively.
We need to prove that perimeter of
is double the perimeter of .
and
Therefore,
is a parallelogram.Thus,
Similarly,
is a parallelogram.
Thus,
Therefore,
Then, we can say that A is the mid-point of QR.
Similarly, we can say that B and C are the mid-point of PR and PQ respectively.
In
, 
Theorem states, the line drawn through the mid-point of any one side of a triangle is parallel to the another side, intersects the third side at its mid-point.
Therefore,
Similarly,
Perimeter of
is double the perimeter of Hence proved.