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Pythagorean Theorem Calculator

Find the hypotenuse of a right triangle.

pythagorean theorem calculator

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What is the Pythagorean Theorem?

Pythagoras is commonly given credit for developing an equation that solves for the length of the hypotenuse of a right triangle.

The calculation is as follows:

A2 + B2 = C2

A and B are the lengths of the legs of the triangle. C is the hypotenuse.

What is the Hypotenuse?

It is most easily referred to as the longest side of a triangle.

Pythagorean Theorem Example:

A right triangle with a length of Leg A as 50 inches and a
length of Leg B as 50 inches has a hypotenuse (C) length of:

502 + 502 = C2

C2 = 5000

C = 70.7107 inches

History of the Pythagorean Theorem

A while back, there was this smart fella named Pythagoras (ca. 570 BC—ca. 495 BC). He was a Greek mathemetician who is traditionally credited with the discovery and proof of the formula. Although, it is often argued that the math for the formula may have been performed before his time. There is evidence that some Babylonian mathematicians understood the formula, although there isn't much evidence that they actually utilized it in a mathematical framework. The theorem has many proofs, probably more than any mathematical theory. These proofs are very diverse, including both geometric and algebraic examples, with some that are thousands of years old. Although it can be generalized in many various ways, it still simplifies to the version used in this calculation. It has attracted interest outside mathematics and is sometimes used as a symbol of mathematical, or intellectual power. It is used in many popular references in literature, plays, musicals, songs, stamps and even cartoons.