Question

What are the other names of the wheel of Theodorus?
A) Square root spiral
B) Einstein spiral
C) Pythagorean spiral
D) All of the above

Answer 1

Hint: To solve this question we must be aware of the wheel of Theodorus. In geometry, the winding of Theodorus (likewise called square root twisting, Einstein twisting or Pythagorean winding is a winding made out of right triangles, set edge-to-edge. It was named after Theodorus of Cyrene.

Complete step-by-step answer:
The Wheel of Theodorus is likewise called the Spiral of Theodorus, the Square Root Spiral, Einstein Spiral, or Pythagorean Spiral. The Spiral of Theodorus begins with an isosceles right triangle with the two legs of length 1. All the more right triangles are added, one leg the hypotenuse of the past triangle, the other, outside leg, consistently of length 1 and the shape looks like the wind. It was first developed by Theodorus of Cyrene. The littlest triangle is a 1-1-√2 right triangle. Each correct triangle after that is shaped by utilizing the hypotenuse of the previous triangle as a leg of the new triangle, adding a leg of size 1 at right points to that new leg. In the following drawing, the biggest triangle has a hypotenuse of √17.
This makes an extraordinary MathArt venture for understudies finding out about square roots.
Thus, the answer is option A: square root of spiral

Note: To develop your Wheel of Theodorus utilizing Euclidean apparatuses, follow the means depicted and represented underneath.
1. Develop right triangle ABC, with base = 1 unit and stature = 1 unit.
2. Utilizing hypotenuse AB as the base of the following triangle, develop an opposite to line AB through point A.
3. Separate 1 unit as the stature of right triangle DBA.
4. Develop the triangle DBA.
5. Keep utilizing the hypotenuse of the recently developed right triangle as the base of the following triangle cycle. The stature should keep on being 1 unit.
6. Keep developing your "Wheel of Theodorus" until the last picture is satisfying to the eye.
7. What is the length of the hypotenuse of the last right triangle? Clarify or show how you know utilizing the Pythagorean hypothesis.