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Center Path


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Tied Up

In a right angled triangular field, three animals are tethered to posts at the midpoint of each side. Each rope is just long enough to allow the animal to reach two adjacent vertices. Only one animal can reach all points in the field. Which one is it and why?

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The Cyclic Quadrilateral


Right Angles


Can you work systematically to prove this?

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Now try changing the number of points round the edge.
Can you do it now?

Try this with other numbers of points round the edge.
When is it possible to make a right-angled triangle?
Can you prove this?

