homechevron_rightStudychevron_rightMathchevron_rightGeometry

Pythagorean theorem calculator

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

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

PLANETCALC, Side length of a right triangle

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 quickly get the formulas for the unknown value.
In the calculator above, if you select the "two legs" option, then you are solving for the hypotenuse (c), and the hypotenuse is

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

If you select the "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 the Pythagorean theorem.

URL copied to clipboard
Creative Commons Attribution/Share-Alike License 3.0 (Unported) PLANETCALC, Pythagorean theorem calculator

Comments