Pythagorean Theorem Photo Essay

By: Kayla German 3A

Who was Pythagoras?

Pythagoras was a Greek mathematician, who was all over finding new math terms and testing them. And trying to find new ways to solve different problems, with different methods. From a young age, there was something about him, that made him different from others. He was really smart, and that made a huge impact on the rest of his life. It showed, that if he put his mind to it, he could do anything, with in time. Pythagoras was a very important figure in the mathematical world. Today he is known as Pythagoras, and was known for proving the Pythagorean theorem. Pythagoras had led a half religious half scientific life. Throughout the years, people have found out that Pythagoras was a really mysterious figure. But he was a great mysterious figure.

Who/What/Where/When about the Pythagorean Theorem

It was known to be one of the earliest theorems known to Ancient civilizations. The famous theorem is named for the Greek mathematical and philosopher, Pythagoras. He found this theorem in the school of mathematics, in Corina. A Greek seaport in southern Italy. The short equation for this theorem is A² + B² = C². It is a relation of geometry, among the three sides of a right triangle. The hypotenuse (The side opposite of the right angle) is equal to the other 2 sides, sums. A² + B² = C². The C represents the length of the hypotenuse and A and B the lengths of the triangles two other sides. The Pythagorean theorem is used any time there is a right triangle. We know the 2 sides just need the third side. So square the two other sides, add them up, and then use the square root, to find the length of the hypotenuse side. Pythagoras proved that the Pythagorean theorem was real and it worked. He was the original formulator, and was proved by him too. Sides A and B are the shot and long leg of this theorem, which makes up the angle. This was discovered by Pythagoras in 500 BC - 569 BC. Integers that satisfy the conditions A² + B² = C² are called Pythagorean triples.

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

A real world job that would use the Pythagorean theorem would be a Math Physicist. Most people think that triangles only relate to geometry. But that is so not the case. In math, we use the formula A² + B² = C² for when we want to square things. Squaring numbers has a ton to do with math. Math physicist's use triangles, for the Pythagorean theorem. The Pythagorean theorem can be used in interior design, and in many other jobs. Using numbers, and triangles, squaring numbers, to make their math easier to do. The Pythagorean theorem is used in pretty much every job there is.

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

There are many jobs that use the Pythagorean Theorem. There is a total of about 56 jobs that use the Pythagorean Theorem, but I will only list 5-6 of them, that people use for their jobs.


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

In any right triangle the hypotenuse is opposite of the right angle sign. And is equal to the other 2 legs, that make up the right angles sides. Sides A and B make up the length of the hypotenuse of side 3. Which then had formed the equation A² + B² = C². You know that you are dealing with a right triangle, which the short and long leg, make a 90 degree angle, as to when you can put a little square in, which would tell you that it is a right triangle.

Description of Short leg, Long leg, and Hypotenuse

The short leg and long leg, are what makes the right triangle. The short leg, multiplied by itself would give you the "B". The long leg (The taller one of the two) multiplied by itself gives you your length of side "A". Then add the answers of both A and B together, then square root it. Which then would give you the hypotenuse or length for letter "C" which is the hypotenuse. So the short, and the long leg, are what makes up the right angle, or the angle of the triangle.

Description of Square Root

Square root is a number that can be multiplied by itself for the square root. For example 49. The square root of 49 would be 7, because if you multiplied 7x7, you would get 49. Which is multiplying a number by itself, to get the given amount So to get 49, it would be 7x7.

Images From Start to Finish on the Wheel of Pythagoras