hypot()

The hypot() function returns the value of the longest side of a right-angled triangle, or the hypotenuse.

Syntax

hypot(x, y)

The hypotenuse is the sum of the squares of the two shorter sides of a right-angled triangle. The x and y parameters are the floating-point lengths of the other two sides.

For C++ implementations that support floating-point math:

• The x and y parameters can be used in any order and with either sign (i.e., hypot(±x, ±y), hypot(±y, ±x)).
• If x or y is ±0, the return value is similar to fabs() called with a non-zero argument.
• If x or y is ±∞, then +∞ is always returned (even if the other argument is NaN).
• Otherwise, NaN is returned if x or y is NaN.

Example

The following example uses the hypot() function to find the hypotenuse of a right triangle with x and y values:

#include <cmath>
#include <iostream>
using namespace std;

int main() {
  double x = 9, y = 10, result;
  result = hypot(x, y);

  cout << result << endl;
  return 0;
}

This results in the following output:

13.4536

Codebyte Example

The following example is runnable and returns the square root of the sum of squares of two long double values:

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