Pythagorean Theorem

An example of the Pythagorean Theorem is a 3 x 4 x 5 triangle - 3 squared is 9, 4 squared is 16, and 5 squared is 25. 9 plus 16 equals 25.

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## Pythagorean theorem

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## Pythagorean theorem

noun

**Pythagorean theorem**

The Pythagorean theorem is a2 + b2 = c2.

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*c*

^{2}=

*a*

^{2}+

*b*

^{2}, where

*c*is the length of the hypotenuse and

*a*and

*b*the lengths of the other two sides.

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- (geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.
*The Pythagorean theorem only applies to right triangles.*

- (functional analysis) A generalization of the Pythagorean theorem for Euclidean triangles to Hilbert spaces

Named after Pythagoras, from Ancient Greek *Î Ï…Î¸Î±Î³ÏŒÏÎ±Ï‚* (Pythagoras), Greek mathematician and philosopher who by tradition is credited with theorem's discovery and proof.

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