Pythagorean Theorem

What is the Pythagorean Theorem and How Does it Work?

What is Pythagorean Theorem?

The theorem was first proved by Pythagoras about 5,500 years ago, but only since 1900, over 200 years have been known about the theorem. Many religions base their interpretations on the Pythagoras theorem; for example; the Hindu religion and Jainism believes in this theorem.

The Pythagorean Theorem has been considered the best mathematical theory that one can use in the construction of astronomical and geographical models and it can be used to calculate any mathematical function.

Suppose we start with a triangle (ABCDE) with each side 1, and each of the angles 3.5, and then we take the square of the hypotenuse: {A: 1/3.5, B: 1/3.5, C: 1/3.} In this case the hypotenuse is 3, so the square of the hypotenuse is {3/3.5} We can now calculate the square of the other two sides to: {2: 1/3.

How does it work?

Pythagoras theorem can be put into perspective by looking at a right angled triangle. If we would cut a straight line through any of the four sides of this triangle, we will find that it is the longest straight line.

Pythagoras theorem is an interesting formula that works with triangles. Pythagoras theorem has been proven wrong by Galileo, they thought that the length of a straight line can be approximated with a constant number called the tangent.

But recently they have found out that the length of a straight line could be approximated by a constant number called the cosine. Galileo came up with this formula and named it the Pythagorean theorem.

Why is it important?

The geometric figure of a right triangle is useful because of two properties.

First, every right triangle has the same isosceles triangle theorem. This means if you draw a right triangle on a piece of paper, you will get the same triangle on the opposite side of the paper, so long as it is a right triangle.

And second, if you draw a right triangle, and let two of the sides be the lengths of the hypotenuse and the other two the lengths of the base, then your figure will have the square of the sum of squares of the other two sides. This is also known as Pythagoras’ theorem. Pythagoras theorem: x2 + y2 = y2 + x How does it work?

Who Else Used It?

More than what we can think of, many greats of history have been linked to this theorem. The names of some of the earliest known Pythagorean Theorem was Robert Recorde (1360-1437) and is attributed to Fibonacci. Though, it was most famously used by Leonardo da Vinci, who is considered to be the most famous mathematician in history.

What are some of the Plimpton elements used in Physics? You know, a Plimpton element are “all the generalizations, which apply to the physical case of a system having an action involving vectors“.

These are the “accelerated versions of Newton’s laws of motion and his inverse dynamics (i.e., the interaction of forces and resultant effects between forces). Most of them can be seen in the article Plimpton's Elements of Mechanics.

Conclusion

In this article, we have learnt how to calculate the length of a given triangle with the help of trigonometry. We have also learned that Pythagoras’ theorem can be used to find the total length of a triangle and that all Pythagorean triangles have the same total length.

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