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An equilateral triangle, square, and a circle has the same area. Inside each of them is a longest possible line segment with its endpoints on the perimeter of the shapes.

Which shape would have the largest value of x/P​ if x is the length of the inscribed line segment and P is the measure of their perimeter?

 Jun 18, 2020
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S q u a r e      x / P = 0.35355339

 Jun 18, 2020

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