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(PHP 4 >= 4.1.0, PHP 5)

hypotCalculate the length of the hypotenuse of a right-angle triangle


float hypot ( float $x , float $y )

hypot() returns the length of the hypotenuse of a right-angle triangle with sides of length x and y, or the distance of the point (x, y) from the origin. This is equivalent to sqrt(x*x + y*y).



Length of first side


Length of second side

Return Values

Calculated length of the hypotenuse

User Contributed Notes
10-Aug-2006 09:56
to robinv at ecosse dot net:

hypo(a, b, c) === hypo(a, hypo(b, c))
hypo(a, b, c, d) === hypo(a, hypo(b, hypo(c, d)))
R. Victor Klassen
24-Jun-2005 03:03
A correct implementation of hypot( x, y ) avoids the overflow that might otherwise happen if either x or y is large enough that when squared it would overflow, but the answer is small enough not to cause overflow.
robinv at ecosse dot net
07-Jan-2004 05:18
A simpler approach would be to allow an arbitrary number of parameters. That would allow for whatever number of dimensions you want *and* it would be backwards compatible with the current implementation.


function hypo()
$sum = 0;
    foreach (
func_get_args() as $dimension) {
        if (!
is_numeric($dimension)) return -1;
$sum += pow($dimension, 2);

hypo();          // vector in 0 dimensions, magnitude = 0.
print hypo(1);         // vector in 1 dimension,  magnitude = 1.
print hypo(3, 4);       // vector in 2 dimensions, magnitude = 5.
print hypo(2, 3, 6);     // vector in 3 dimensions, magnitude = 7.


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