# Pythagorean Spiral

## Create Pythagorean Spiral

1. Draw a line segment, AB, of unit length
2.Construct a perpendicular line to AB at B
3.With B as centre , construct a circle passing through A.
4.Mark the point of intersection of the circle and the perpendicular line as C
5.Use Polygon Tool to construct the triangle ABC.
What is the length of the hypotenuse AC?
Change the colour of the triangle ABC
Repeat the steps of construction(2-5) on point C.
What is the length of the hypotenuse of the second triangle?
Repeat the construction till you get the triangle with hypotenuse of length
Clean up the construction by hiding the perpendicular lines and circles.

## Create Your Own Spiral

The length of the hypotenuse of the fourth triangle is