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# Pythagorean theorem calculator

Calculates the side length of a right triangle from two other sides using Pythagorean theorem. Created by user's request

### This page exists due to the efforts of the following people:

#### Timur

One of our users asked why we do not have calculator on Pythagorean theorem.
Indeed, we've already have plenty calculators about triangles but none about right triangle. Well, may be because of it's simplicity. Anyway, if someone lazy to calculate by yourself - here it is. As usual, some theory can be found below the calculator

#### Side length of a right triangle

Digits after the decimal point: 2
Side length

### Pythagorean theorem

The Pythagorean theorem, also known as Pythagoras' theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

If we denote hypotenuse as c and two legs as a and b, we can write the following equation, often called the Pythagorean equation:
$a^2+b^2=c^2$

From this we can easily get the formulas for the uknown value.
In the calculator above, if you select "two legs" option, then you are solving for the hypotenuse (c), and the hypotenuse is

$c=\sqrt{a^2+b^2}$

If you select "leg and hypotenuse" option, then you are solving the remained leg, and if it is a, then it equals to

$a=\sqrt{c^2-b^2}$

If it is b, then it equals to

$b=\sqrt{c^2-a^2}$

P.S. Wikipedia says there are 367 ways to prove Pythagorean theorem.

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PLANETCALC, Pythagorean theorem calculator