Inside every triangle is imprisoned a very special circle. Did you know that? It is called the inscribed circle, and it is one of the many connections between circles and triangles.
A shipping question relates to this: if you were shipping a million sections of fragile pipe, would you consider a triangular-shaped box? If so, what type of triangle would be best?
When I was in school the closest I got to diagrams like above were those frozen in time and printed in books. Students can know learn about such things in a much more dynamic environment. Make sure they can and do!!!!
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