MathDB

5

Part of 2016 Canadian Mathematical Olympiad Qualification

Problems(1)

Midpolygon perimeter

Source: Canada Repêchage 2016/5

6/19/2016
Consider a convex polygon PP with nn sides and perimeter P0P_0. Let the polygon QQ, whose vertices are the midpoints of the sides of PP, have perimeter P1P_1. Prove that P1≥P02P_1 \geq \frac{P_0}{2}.
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