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1.1

Part of Geometry Mathley 2011-12

Problems(1)

Geometry Mathley 1.1 hexagon perimeter inequality

Source:

6/6/2020
Let ABCDEFABCDEF be a hexagon having all interior angles equal to 120o120^o each. Let P,Q,R,S,T,VP,Q,R, S, T, V be the midpoints of the sides of the hexagon ABCDEFABCDEF. Prove the inequality p(PQRSTV)≥32p(ABCDEF)p(PQRSTV ) \ge \frac{\sqrt3}{2} p(ABCDEF), where p(.)p(.) denotes the perimeter of the polygon.
Nguyễn Tiến Lâm
geometrygeometric inequalityhexagonperimeter