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The Pythagorean theorem is a special case of the more general theorem relating the lengths of sides in any triangle, the law of cosines, which states that. where is the angle between sides and . [45] When is radians or 90°, then , and the formula reduces to the usual Pythagorean theorem.
- The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
- Theorem
Mar 3, 2024 · Pythagorean theorem, geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. Although the theorem has long been associated with the Greek mathematician Pythagoras, it is actually far older.
- The Editors of Encyclopaedia Britannica
Feb 23, 2005 · Pythagoras, one of the most famous and controversial ancient Greek philosophers, lived from ca. 570 to ca. 490 BCE. He spent his early years on the island of Samos, off the coast of modern Turkey. At the age of forty, however, he emigrated to the city of Croton in southern Italy and most of his philosophical activity occurred there.
Apr 3, 2024 · Pythagoras himself came up with the theory that numbers are of great importance for understanding the natural world, and he studied the role of numbers in music. Although the Pythagorean theorem bears his name, the discoveries of the Pythagorean theorem and that the square root of 2 is an irrational number were most likely made after his death ...
- The Editors of Encyclopaedia Britannica
- What was Pythagoras’s profession? When and how did it begin?Pythagoras was a Greek philosopher and mathematician. He seems to have become interested in philosophy when he was quite young. As part of his educ...
- When and where was Pythagoras born? When did Pythagoras die?Pythagoras was born about 570 BCE on the island of Samos. He died at Metapontium, in modern-day Italy, about 500 to 490 BCE. In one version of his...
- What was Pythagoras’s religion?It is difficult to speak about Pythagoras’s religion since he left no writings behind. However, the Pythagoreans believed that after death the huma...
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It is called "Pythagoras' Theorem" and can be written in one short equation: a 2 + b 2 = c 2. Note: c is the longest side of the triangle; a and b are the other two sides; Definition. The longest side of the triangle is called the "hypotenuse", so the formal definition is:
Pythagoras of Samos [a] ( Ancient Greek: Πυθαγόρας ὁ Σάμιος, romanized : Pythagóras ho Sámios, lit. 'Pythagoras the Samian ', or simply Πυθαγόρας; Πυθαγόρης in Ionian Greek; c. 570 – c. 495 BC) [b] was an ancient Ionian Greek philosopher, polymath and the eponymous founder of Pythagoreanism. His political ...
Feb 22, 2011 · The Pythagorean Theorem states that a² + b² = c². This is used when we are given a triangle in which we only know the length of two of the three sides. C is the longest side of the angle known as the hypotenuse. If a is the adjacent angle then b is the opposite side. If b is the adjacent angle then a is the opposite side.
