# Pythagorean-theorem meaning

The theorem that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse.

noun

The theorem that in a right triangle the hypotenuse squared is equal to the sum of the squares of the other sides (i.e., c

^{2}= a^{2}+ b^{2})noun

The definition of the Pythagorean Theorem is a mathmatical relationship of the lengths of the sides in a right triangle - if you square the length of the two shorter sides and add them together, that will equal the length of the longest side squared.

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.

noun

A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides. It is mathematically stated as

*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.(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.

pronoun

Advertisement

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

pronoun

## Origin of pythagorean-theorem

- 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.### From Wiktionary