# Math project

### By: Corey Chivers

## Who's Pythagoras?

## Sorces

## 1. Example of real life Pythagoras usage.

## 2. Example of real life Pythagoras usage.

## 3. Example of real life Pythagoras usage.

## 4. Example of real life Pythagoras usage.

## 5. Example of Pythagoras usage.

## All of the sets of making a Pythagoras theorem

__STEP 1__ -- Collect the materials -- One poster board, a pencil and a ruler with centimeters on it.

STEP 2 -- Measure 27.5 cm from the left of the poster board and 20.5 cm from the top of the poster board and make a mark. This should be the center of the wheel.

STEP 3 -- Using your ruler create a segment that is 10 cm across starting from the starting point and heading towards the center of the poster. Make this segment perpendicular to the side of the poster. Use your ruler to construct a congruent (10 cm) segment that is perpendicular to the original. This segment needs to be 20.5

centimeters from the top of the poster board starting at the right hand side of the 10 cm segment that you just drew.Connect the endpoints of the two segments to create a right isosceles triangle.

__STEP 4__ -- Using the hypotenuse of the first triangle, create another right triangle on top of the previous hypotenuse. The old hypotenuse will be the new base and construct a perpendicular segment to this, with a length of 10. Then connect the two segments to form a new hypotenuse.

STEP 5 -- Continue to repeat this process of connecting and constructing new triangles with a side length of 10, using the previous hypotenuse as the other side. Continue to show your calculations on your separate piece of paper. Construct triangles until you have formed a full spiral. There will be 17 triangles total.

STEP 6 -- Detail your Pythagorean Spiral with a design. Use color and a pattern to make a creative picture. ****I RECOMMEND COLORED PENCILS OR CRAYONS FOR YOUR DESIGN!

TO TURN IN: Your poster with light pencil lines shown for constructions and color used to decorate the pattern.

STEP 7 -- Calculate the hypotenuse of the first 5 triangles on a back of your project.