# Pythagorean theorem

## Calculus pythagorean

Calculus in processing ... please wait

### Function : pythagorean

#### Summary :

The function makes it possible to verify by using the Pythagorean theorem knowing the lengths of the sides of a triangle that this is a right triangle. If the sides of the triangle depend on a variable, then the value of the variable is calculated so that the triangle is a right triangle.

pythagorean online

#### Description :

The calculator by means of the pythagorean function makes it possible to know if lengths satisfy the Pythagorean theorem. If the lengths contain variables, the calculator will seek to find the values of the variables which allow to verify the Pythagorean theorem.

The Pythagorean theorem is expressed as follows: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the opposite sides. If we consider the triangle ABC rectangle in A, if we put BC = a, AC = b, AB = c then the theorem of Pythagoras is written BC^2=AB^2+AC^2 or a^2=b^2+c^2.

The Pythagorean theorem admits a reciprocal which states : If in a triangle the square of one side is equal to the sum of the squares of the opposite sides, then the triangle is a right triangle.

# Verify that a triangle is a right triangle knowing the length of its sides

The calculator makes it possible to verify that a triangle is a right triangle knowing the length of the hypotenuse and the length of the opposite sides. If it is desired, for example, to verify that there exists a right-angled triangle whose hypotenuse has length 5 and the opposite sides for length 3 and 4, enter pythagorean(3;4;5). The calculator returns 1 if the values passed in parameter make it possible to deduce that the triangle is a right triangle, 0 otherwise. The calculator returns the details of the calculations used to use the Pythagorean theorem.

# Solve an equation involving the length of the sides in a right triangle

The calculator makes it possible to find the length of one side knowing the other two from the theorem of pythagoras. For example, if we look for the hypotenuse of a right triangle whose opposite sides are 3 and 4 enter pythagorean(3;4;x), the value of the hypotenuse is then calculated.

The function makes it possible to verify by using the Pythagorean theorem knowing the lengths of the sides of a triangle that this is a right triangle. If the sides of the triangle depend on a variable, then the value of the variable is calculated so that the triangle is a right triangle.

#### Syntax :

pythagorean(length_side_opposite;length_side_opposite;hypotenuse_length)

#### Examples :

Calculate online with pythagorean (Pythagorean theorem)