# Pythagorean Theorem Photo Essay

### By: Kayla German 3A

## Who was Pythagoras?

## Who/What/Where/When about the Pythagorean Theorem

## Where was Pythagoras born? How did he discover the Pythagorean Theorem? How did he get the idea of the Pythagorean Theorem?

Pythagoras was born in 570 BC and then eventually years later, sadly, had passed away in 495 BC. The Pythagorean theorem got it's name from the Ancient Greek mathematician Pythagoras (569 BC -500 BC), who was may have been the first to offer a proof of the theorem. This is pretty much when he became famous. He got the idea from looking at a tile pattern. He kept on seeing the pattern of the 3 squares, with the right triangle inside, which then became known as the Pythagorean theorem

## What was Pythagoras remembered for? Why is he remembered for that?

He is mainly remembered for what has become called, and known as Pythagoras' Theorem (or what most people call it, the Pythagorean Theorem) for any right angled triangle, the square of the length of the hypotenuse, (which is the longest side, opposite the right angle) is equal to the sum of the square of the other two sides or also known as legs (Short Leg and Long leg).

## A Real World Job that uses the Pythagorean Theorem

## In this world right now, where would we use the Pythagorean Theorem?

**Farming: **

Using straight lines, while trying to plant crops, uses the Pythagorean theorem a lot. It helps determine the space of which each of the seeds should be planted .

**Carpentry: **

Carpentry uses the Pythagorean theorem, because when you want to order carpet, or tile, you have to know how much square footage you need, as to how much you need to order.

**Construction:**

Construction uses this because when going onto a job site, you should know how much of a type of rock / sand you should need to fill it. You don't want to over flow the area, but you also don't want to under fill either. Also knowing what type of rock / sand you need.

**Electricians: **

Electricians use it, because they need to know where your for instance air conditioning should go. For weather it should go one way vs another. They figure it out, based on the shape of your house, and which way would be the most efficient for you.

**Architects: **

Architects use it because when they are trying to build a building, they have to be absolutely correct with their math, and one little mistake could mean harming the building, and people around it.

## Steps I used in making the Wheel of Pythagoras

**Step 1:**

Collect all materials needed: 1 Poster Board, 1 ruler (using centimeter side), and 1 pencil

**Step 2: **

First 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 would be our center of the wheel

**Step 3:**

Make the first line segment. This segment needs to be 20.5 centimeters from the top of the poster board starting at the right hand side of the segment (10 cm) you just drew. Then connect the end points of the two segments to create an Isosceles triangle.

**Step 4:**

Using the hypotenuse of the first triangle, create another right triangle on top of the previous hypotenuse

**Step 5:**

Next 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 of the triangle, there will be 17 triangles total when you are finished

**Step 6: **

Draw a design on your poster, with great detail, and hard work put into your drawings

**Step 7:**

You need to calculate the first 5 triangles hypotenuses, and put the answers, and the work on the back of your project

## Description of a Right Triangle

## Description of Short leg, Long leg, and Hypotenuse

## Description of Square Root

## Images From Start to Finish on the Wheel of Pythagoras

## Day 1: Drawing the Wheel of Pythagoras On Day 1, all I did was draw my wheel, so I knew what space I had to put all of my characters into. | ## Day 2: Starting to Draw Characters On Day 2, I started to draw a few of my characters. | ## Day 3: Finish Drawing Characters on Wheel On Day 3, I was about half way through, when I had finished on day 2, so on day 3, I just had to finish the other half. |

## Day 1: Drawing the Wheel of Pythagoras

## Day 4: Tracing the Characters that I had On Day 4, I had decided to start tracing my characters, so that I would be half way done with tracing. | ## Day 5: Finished drawing characters, and tracing over them On Day 5, I finished drawing all of my characters, and had finished tracing all of them. | ## Day 6: Did all of my work on scratch paper I first did my work on scratch paper, so that if I made any mistakes, it would be easier to erase, and just do all of the work before I put it on my final product. Also on day 6, I did my whole Photo essay, that goes along with my poster board, I had finished that, with just a few touch ups needed towards the end of the project. |

## Day 4: Tracing the Characters that I had

## Day 5: Finished drawing characters, and tracing over them

## Day 6: Did all of my work on scratch paper

## Day 7: Putting Hypotenuses, and the work on my final product On Day 7, I had put all of my work, and answers of the first 5 triangles hypotenuses, on the back of my poster board. | ## Day 8: Colored all Characters On Day 8, I colored all of my characters. | ## Day 9: My Final Product On Day 9, I had my final product all done, and ready to go. |