Given: △ABC, P is mid point of BC, QR∥BC and PQ∥AC
Since, PQ∥AC and P is mid point of BC, thus, by converse of mid point theorem
Q is mid point of AB.
Now, In △ABP
Since, QR∥BP and Q is mid point of AB. thus, by converse of Mid point theorem
R is mid point of AP.
Hence, QR=12BP (Mid point theorem)
QR=12(12BC) (P is midpoint of BC)
BC=4QR