# How did Pythagoras come up with the Pythagorean Theorem?

3 min read

##### Asked by: Elizabeth Jordan

The legend tells that Pythagoras was looking at the square tiles of Samos’ palace, waiting to be received by Polycrates, when he noticed that if one divides diagonally one of those squares, it turns out that the two halves are right triangles (whose area is half the area of the tile).

## Did Pythagoras actually discover the Pythagorean Theorem?

Thus, not only is the first proof of the theorem not known, **there is also some doubt that Pythagoras himself actually proved the theorem that bears his name**. Some scholars suggest that the first proof was the one shown in the figure. It was probably independently discovered in several different cultures.

## Why was the Pythagorean theorem named after Pythagoras?

The Pythagorean Theorem is named after Pythagoras of Samos , a mathematician who was also a religious leader, and **believed that all things in the universe were composed of numbers**. (There are many different ways to prove this.) The hypotenuse of a right triangle is the side opposite the right angle.

## Who proved that Pythagoras?

**Euclid** provided two very different proofs, stated below, of the Pythagorean Theorem. Euclid was the first to mention and prove Book I, Proposition 47, also known as I 47 or Euclid I 47. This is probably the most famous of all the proofs of the Pythagorean proposition.

## Who did Pythagoras steal the theorem from?

The case of the Pythagorean theorem is equally clear. **The Babylonians** knew the Pythagorean relationship, a + b = c ; the Egyptians knew that a 3,4,5 triangle for which the Pythagorean theorem holds was a right triangle, but theorems, the proof of the relationship, are Hellenic.

14 февр. 1991

## How did Euclid prove the Pythagorean Theorem?

Euclid proved that “**if two triangles have the two sides and included angle of one respectively equal to two sides and included angle of the other, then the triangles are congruent in all respect**” (Dunham 39). In Figure 2, if AC = DF, AB = DE, and ∠CAB = ∠FDE, then the two triangles are congruent.

## Why is Pythagoras theorem true?

It’s easy to see from the fact that angles in a triangle add up to 180◦ that it is actually a square). There are also four right triangles with base a and height b. The conclusion is that **a2 + b2 = c2**, which is the Pythagorean Theorem.

## When was the Pythagorean Theorem proved?

The statement of the Theorem was discovered on a Babylonian tablet **circa 1900-1600 B.C.** Whether Pythagoras (c. 560-c. 480 B.C.) or someone else from his School was the first to discover its proof can’t be claimed with any degree of credibility.

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sign(t) |
= -1, for t < 0, |
---|---|

sign(0) |
= 0, |

sign(t) |
= 1, for t > 0. |

## What did Pythagoras invent?

Around Two thousand five hundred years ago, a Greek mathematician, Pythagoras, invented **the Pythagorean Theorem**. The Theorem was related to the length of each side of a right-angled triangle.

## How did Pythagoras explored mathematics?

Pythagoras discovered that a complete system of mathematics could be constructed, where geometric elements corresponded with numbers, and where integers and their ratios were all that was necessary to establish an entire system of logic and truth.

## What are three interesting facts about Pythagoras?

01**Pythagoras was a mathematician and philosopher from Ancient Greece**. 02Around 570 BC, Pythagoras was born on Samos, a Greek Island. 03He was the son of a seal engraver named Mnesarchus. 04The cause of his death around 496 BC remains to be a mystery.