Question 11
Let $\mathcal{F}$ be the family of all convex hexagons $H$ satisfying the following conditions:
(a) opposite sides of $H$ are parallel;
(b) any three vertices of $H$ can be covered by a strip of width $1$.
Determine the smallest real number $\ell$ such that each hexagon of the family $\mathcal{F}$ can be covered by a strip of width $\ell$.
(a) opposite sides of $H$ are parallel;
(b) any three vertices of $H$ can be covered by a strip of width $1$.
Determine the smallest real number $\ell$ such that each hexagon of the family $\mathcal{F}$ can be covered by a strip of width $\ell$.