Pythagorean Theorem Photo Essay

By: Kaitlyn Eldridge 3A

Who Was Pythagoras?

Pythagoras's father is Mnesarchus was a merchant who came from Tyre, and there is a story that he brought corn to Samos at a time of famine and was granted citizenship of Samos as a mark of gratitude. There were, among Pythagoras teachers, three philosophers who were to influence Pythagoras while he was a young man. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure. The other two philosophers who were to influence Pythagoras, and to introduce him to mathematical ideas, were Thales and his pupil Anaximander who both lived on Miletus. There is some evidence to suggest that Pythagoras and Polycrates were friendly at first and it is claimed that Pythagoras went to Egypt with a letter of introduction written by Polycrates. For example the secrecy of the Egyptian priests, their refusal to eat beans, their refusal to wear even cloths made from animal skins, and their striving for purity were all customs that Pythagoras would later adopt. Pythagoras was a math mathematician who was all about finding new math terms and ways to solve problems. His history of his life has a really big impact on the way he grew up because it shows that he was a smart person all in all, and that he could do anything with math if he put his mind to it.

What Was Pythagoras Remembered For?

He is mainly remembered for what has become known as Pythagoras' Theorem (or the Pythagorean Theorem): that, for any right-angled triangle, the square of the length of the hypotenuse (the longest side, opposite the right angle) is equal to the sum of the square of the other two sides (or "legs").

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

Pythagoras was born in 570 BC and then he eventually passed away in 495 BC. The Pythagorean theorem takes its name from the ancient Greek mathematician Pythagoras (569 B.C.?-500 B.C.?), who was perhaps the first to offer a proof of the theorem.

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

Pythagoras was born in Samos, Greece. He discovered the Pythagorean Theorem in Samos, Greece. He traveled many places, some of the places that he traveled was Egypt, Arabia, Phoenicia, Judaea, Babylon, and even India, for the purpose of collecting all available knowledge, and especially to learn information concerning the secret or mystic cults of the gods.

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

Many people would need to use right triangles and Pythagorean Theorem, but I am only going to name 5-6 examples of places and people (jobs).

They are:

  1. 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
  2. Farming: Precise lines need to be drawn and measured to determine growing spaces and yearly yield a tool is vital
  3. 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
  4. Road Trips: Need to be able to calculate the shortest possible way to your destination
  5. 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
  6. 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?

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.

Square Of Short Leg, Long Leg, And Hypotenuse?

The short leg and long leg, are what makes the right triangle. If you were to multiply the short leg by itself it would give you the "B". If you were to multiply the long leg by itself it would give you the "A". Then you would add "A" and "B" together and don't forget to 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?

Square root is a number that can be multiplied by itself to get a number, and that number would be the square root. For example the number 81, the two numbers you take and multiply by themselves would give you 81 and they are 9x9. 9 multiplied by 9 would give you 81 so then that would be your square root.

Images Of The Final And Starting Product?