Pythagorean Theorem#

pyquations.geometry.pythagorean_theorem.pythagorean_theorem(a: float, b: float) → float[source]

Calculates the length of the hypotenuse for a right triangle.

The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. [1]

\[c^2 = a^2 + b^2\]

Where:

  • \(a\) is the length of one leg of the triangle.

  • \(b\) is the length of the other leg of the triangle.

  • \(c\) is the length of the hypotenuse.

Parameters:

  • a (float) – Length of one leg of the triangle. Must be non-negative.

  • b (float) – Length of the other leg of the triangle. Must be non-negative.

Returns:

The length of the hypotenuse.

Return type:

float

Raises:

ValueError – If either ‘a’ or ‘b’ is not greater than 0.

Examples

>>> pythagorean_theorem(3, 4)
5.0

>>> pythagorean_theorem(5, 12)
13.0

>>> pythagorean_theorem(8, 15)
17.0
Resources:

References