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Question

Which of the following is correct regarding wheel of Theodorus?

A
It doesn't have any isosceles right triangle.
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B
The spiral is started with an isosceles right triangle, with each leg having length 2 units.
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C
The spiral is started with an isosceles right triangle, with each leg having unit length.
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D
None of these
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Solution

The correct option is B The spiral is started with an isosceles right triangle, with each leg having unit length.
This is wheel of Theodorus.
As clearly seen, first triangle is isosceles right triangle with equal sides of length 1 unit, followed by triangle with base of 1 unit length.

863388_601460_ans_140fb716697d4b31abc5b08da4331717.png

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