Java Math hypot() Method

The hypot() method of Math class returns the square root for the expression x² + y² without the intermediate underflow or overflow .

Syntax:

public static double hypot(double x, double y)

Parameters:

The parameters ‘x’ and ‘y’ represent the values.

Return Value:

The hypot () method returns the square root for the expression x² + y².

Special cases of the hypot() method are as follows:

• It returns positive infinity, if either argument is infinite.
• It returns NaN , if either argument is NaN and neither argument is infinite.

Example 1:

public class JavaMathHypotExample1 {
    public static void main(String[] args) {
        double a = 4;
        double b = 3;
        //returns the square root for the expression x.x + y.y
        System.out.println("Hypotenuse : "+Math.hypot(a,b));
    }
}

Output:

Hypotenuse : 5.0

Example 2:

public class JavaMathHypotExample2 {
    public static void main(String[] args) {
        double a = 12;
        double b = 5;
        double c=Math.hypot(a, b);
        //returns the square root for the expression x.x + y.y
        System.out.println("Hypotenuse : " + c);
        double d=a*a+b*b;
        if(d==c*c){
            System.out.println("The triangle ia a right angled triangle. ");
        }
        else{
            System.out.println("The triangle is not a right angled triangle.");
        }
    }
}

Output:

Hypotenuse : 13.0
The triangle ia a right angled triangle.

Example 3:

public class JavaMathHypotExample3 {
    public static void main(String[] args) {
        double a = 4/0.0d;
        double b = 3;
        //returns positive infinity, if either argument is infinite
        System.out.println("Hypotenuse : "+Math.hypot(a,b));
    }
}

Output:

Hypotenuse : Infinity

Example 4:

public class JavaMathHypotExample4 {
    public static void main(String[] args) {
        double a = -4/0.0d;
        double b = 3;
        //returns positive infinity, if either argument is negative infinite
        System.out.println("Hypotenuse : "+Math.hypot(a,b));
    }
}

Output:

Hypotenuse : Infinity

Example 5:

public class JavaMathHypotExample5 {
    public static void main(String[] args) {
        double a = 0.0d/0.0d;
        double b = 3;
        //returns NaN, if either argument is NaN
        System.out.println("Hypotenuse : "+Math.hypot(a,b));
    }
}

Output:

Hypotenuse : NaN