pythagorean theorem wikipedia - EAS
- In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Field: Euclidean geometrySymbolic statement: a, 2, +, b, 2, =, c, 2, {\displaystyle a^{2}+b^{2}=c^{2}}Type: Theoremen.wikipedia.org/wiki/Pythagorean_theorem - People also ask
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See all on Wikipediahttps://en.wikipedia.org/wiki/Pythagorean_theoremIn mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the … See more
This theorem may have more known proofs than any other (the law of quadratic reciprocity being another contender for that distinction); the book The Pythagorean Proposition contains 370 proofs.
Proof using similar triangles
This proof is based … See morePythagorean triples
A Pythagorean triple has three positive integers a, b, and c, such that a + b = c . In other words, a Pythagorean triple represents the … See moreRearrangement proofs
In one rearrangement proof, two squares are used whose sides have a measure of $${\displaystyle a+b}$$ and which contain four right triangles whose sides are a, b and c, with the hypotenuse being c. In the square on the right … See moreSimilar figures on the three sides
The Pythagorean theorem generalizes beyond the areas of squares on the three sides to any See moreWikipedia text under CC-BY-SA license- https://simple.wikipedia.org/wiki/Pythagorean_theorem
WebIn mathematics, the Pythagorean theorem or Pythagoras's theorem [permanent dead link] is a statement about the sides of a right triangle. One of the angles of a right triangle is …
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Pythagorean Theorem | Brilliant Math & Science Wiki
https://brilliant.org/wiki/pythagorean-theoremWebThe Pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs. So if a …
Pythagorean theorem - Wikiversity
https://en.wikiversity.org/wiki/Pythagorean_theoremSee more on en.wikiversity.org1: Find the hypotenuse of a right angle triangle whose base is 3 meters and perpendicular is 4 meters in length. Solution:Let the hypotenuse be x meters. x 2 = 4 2 + 3 2 {\displaystyle x^{2}=4^{2}+3^{2}} x = 4 2 + 3 2 {\displaystyle x={\sqrt {4^{2}+3^{2}}}} ∴ x = 5 {\displaystyle \therefore x=5} So the hypotenuse will be 5 …- https://en.wikipedia.org/wiki/Inverse_Pythagorean_theorem
In geometry, the inverse Pythagorean theorem (also known as the reciprocal Pythagorean theorem or the upside down Pythagorean theorem ) is as follows:
Let A, B be the endpoints of the hypotenuse of a right triangle ABC. Let D be the foot of a perpendicular dropped from C, the vertex of the right angle, to the hypotenuse. ThenWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 2 mins
- https://en.wikipedia.org/wiki/Pythagoras
WebThe 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). Although Pythagoras is most famous today for his alleged mathematical …
- https://en.wikipedia.org/wiki/Fermat's_Last_Theorem
WebOverview Pythagorean origins. The Pythagorean equation, x 2 + y 2 = z 2, has an infinite number of positive integer solutions for x, y, and z; these solutions are known as Pythagorean triples (with the simplest example …
- https://simple.wikipedia.org/wiki/Pythagoras
WebPythagoras is most famous for his theorem to do with right triangles. He said that the length of the longest side of the right angled triangle called the hypotenuse (C) squared would equal the sum of the other sides squared. …
- https://en.wikipedia.org/wiki/Pythagoreanism
WebPythagoreanism originated in the 6th century BC, based on and around the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community …
- https://en.wikipedia.org/wiki/Pythagorean
WebPythagorean, meaning of or pertaining to the ancient Ionian mathematician, philosopher, and music theorist Pythagoras, may refer to: Contents 1 Philosophy 2 Mathematics 3 …
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