In the Spiral of Theodorus, what is the significance of the hypotenuse of the triangles?

It represents rational and irrational numbers alternatively.

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It gives the square root of the corresponding natural number

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It gives the square of the corresponding natural number

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None of these

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Solution

The correct option is A It gives the square root of the corresponding natural number
As seen in the spiral of Theodorus,
Hypotenuse of each triangle is the square root of the corresponding natural number, for eg, first triangle has hypotenuse $= \sqrt{1}$ , second triangle has hypotenuse $= \sqrt{2}$ , and so on.

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In the Spiral of Theodorus, what is the significance of the hypotenuse of the triangles?

The correct option is A It gives the square root of the corresponding natural numberAs seen in the spiral of Theodorus,Hypotenuse of each triangle is the square root of the corresponding natural number, for eg, first triangle has hypotenuse =√1, second triangle has hypotenuse =√2, and so on.