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P, Q and R are the midpoints of sides AB, BC and AC of triangle ABC.
By mid point theorem,
⇒ PR = 1/2 of BC = PR/BC = 1/2......(1)
⇒ PQ = 1/2 of AC = PQ/AC = 1/2 .....(2)
⇒ QR = 1/2 of AB = QR/AB = 1/2 ......(3)
Hence, Perimeter of Δ ABC/Perimeter of Δ PQR
= (AB + BC + CA)/(PQ + QR + RP)
= (AB + BC + AC)/1/2(AB + BC + AC)
= 1/2
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