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Problem of the Day #231: The Chocolate Shop November 5, 2011

Posted by Saketh in : potd , trackback

Alex is visiting a chocolate shop with a rather unusual process for purchasing chocolate. He starts by selecting a slab of chocolate in the shape of any convex hexagon of area $1$.

The shopkeeper then selects three adjacent vertices of the hexagon and cuts off a triangle-shaped wedge of chocolate for Alex. What is the greatest amount of chocolate Alex can guarantee himself?

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