prove the significance of square root spiral
Answers
The spiral of Theodorus (also referred to as the square root spiral or the Pythagorean spiral) is a construction of continuous right triangles into a spiral. Each triangle has a side length of one representing the of the Pythagorean theorem, with the other sides filling in the spaces for the and in the theorem.
Theodorus used this spiral to prove that all non-square integers from 3-17 are irrational. The original spiral stops at √17 because that is the last hypotenuse before overlapping the rest of the figure. However, much later Erich Teuffel proved that no two hypotenuse’s will ever overlap regardless of how far the spiral continues. The side lengths of 1 will also be extended into a line that will never pass through any other vertices of the figure.
BE BRAINLY!!!!
