Pythagorean Theorem Calculator and Trigonometric Functions

Definition

The Pythagorean theorem states, that in any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs. The theorem can be written as an equation: a²+b²=c², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. Below you find the Pythagorean theorem depict with an oppurtunity to use it with your own values.

Calculate the Pythagorean Theorem

Please enter two values and the third will be calculated

a²=√(c²-b²)

b²=√(c²-a²)

c²=a²+b²

Trigonometric functions

From the Pythagoraen theorem you can assume to the trigonometric functions. These are defined as followed:

trigonometrische funktionen
VariableDefinitionequivalent
sinαopposite leg of α
hypotenuse
a
c
cosαadjacent leg α
hypotenuse
b
c
tanαopposite leg of α
adjacent leg α
a
b
sinβopposite leg of β
hypotenuse
b
c
cosβadjacent leg β
hypotenuse
a
c
tanβopposite leg of β
adjacent leg β
b
a