# Pythagorean Theorem Photo Essay

### By: Kaitlyn Eldridge 3A

## Who Was Pythagoras?

## What Was Pythagoras Remembered For?

## When Was Pythagoras Born? When Did He Die? When Did He Discover The Pythagorean Theorem?

## Where Was Pythagoras Born? Where Did He Discover The Pythagorean Theorem? Where Did He Visit To Get His Ideas?

## Where In The World Would Someone Use Right Triangles And The Pythagorean Theorem?

They are:

- Construction: Use a special triangle (or a multiple of it, say, 9-12-15) when they don't have a carpenter's square (instrument for constructing right angles) handy
- Farming: Precise lines need to be drawn and measured to determine growing spaces and yearly yield a tool is vital
- Painting: Painter needs to be able to determine how tall the ladder needs to be in order to safely place the base away from the wall so it won't tip over
- Road Trips: Need to be able to calculate the shortest possible way to your destination
- Welders: These people use the Pythagorean Theorem when they are welding objects together to make right triangles, and they could possibly may also need to know the hypotenuse of the object they are welding
- Cartographers: These people use the Pythagorean Theorem when setting boundaries, for example, they can easily measure a line

## Steps To Making The Wheel Of Pythagoras?

**Step 1:**

Collect materials - one poster board, one pencil, and one 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 would be our center of the wheel

**Step 3:**

We will make a segment. 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

**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, there will be 17 triangles total

**Step 6:**

Detail your Pythagorean Spiral with a design

**Step 7: **

Calculate the hypotenuse of the first 5 triangles on a back of your project

## Description Of A Right Triangle?

## Square Of Short Leg, Long Leg, And Hypotenuse?

**square root**them. Then that answer would give you the hypotenuse or length for "C". The short and long leg would make up the right triangle on a shape.

## Description Of Square Root?

## Images Of The Final And Starting Product?

## Day 1: Drawing The Wheel On day 1 I would go and start drawing the wheel, so I know how much space and room I got to add details later on in the project. All we did day 1 was draw and trace with sharpie if we wanted too. | ## Day 2: Start Sketching And Tracing On day 2 we would be able to start sketching ideas and then draw items to go with it. I decided to do candy bars so I started to draw and then I would trace with sharpie. | ## Day 3: Finish Sketching And Tracing On day 3 we would finish sketching and tracing, so that way on the next day we would be able to start to color and at least get that part done, then we would have to find the hypotenuse of 5 triangles. |

## Day 1: Drawing The Wheel

## Day 2: Start Sketching And Tracing

## Day 4: Start And Finish Coloring On day 4 we would start coloring and hopefully finish coloring, so that way we would be able to find the hypotenuse of the 5 triangles. | ## Day 5: Finding Hypotenuses On day 5 I would go and find the hypotenuses of 5 triangles, i would do my work on scratch paper before I did them on the poster board for the final project. | ## Day 6: Putting Hypotenuses On Poster Board On day 6 I went and put the hypotenuses on my poster board project. |