Python math.hypot() Method

Example

Find the hypotenuse of a right-angled triangle where perpendicular and base are known:

#Import math Library
import math

#set perpendicular and base
parendicular = 10
base = 5

#print the hypotenuse of a right-angled triangle
print(math.hypot(parendicular, base))

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Definition and Usage

The math.hypot() method returns the Euclidean norm. The Euclidian norm is the distance from the origin to the coordinates given.

Prior Python 3.8, this method was used only to find the hypotenuse of a right-angled triangle: sqrt(x*x + y*y).

From Python 3.8, this method is used to calculate the Euclidean norm as well. For n-dimensional cases, the coordinates passed are assumed to be like (x1, x2, x3, ..., xn). So Euclidean length from the origin is calculated by sqrt(x1*x1 + x2*x2 +x3*x3 .... xn*xn).

Syntax

math.hypot(x1, x2, x3, ..., xn)

Parameter Values

Parameter	Description
x1, x2, x3, ..., xn	Required. Two or more points representing coordinates

Technical Details

Return Value:	A `float` value, representing the Euclidean distance from the origin for n inputs, or hypotenuse of a right-angled triangle for two inputs
Change Log:	From 3.8: Also supports n-dimensional points. Earlier versions only support two-dimensional points

More Examples

Example

Find the Euclidean norm for the given points:

#Import math Library
import math

#print the Euclidean norm for the given points
print(math.hypot(10, 2, 4, 13))
print(math.hypot(4, 7, 8))
print(math.hypot(12, 14))

❮ Math Methods