Java Program to Check Whether Given Four Points Form Pythagorean Quadruple

In the previous article, we have seen Java Program to Find Volume and Surface Area of Cuboid

In this article we are going to see how to check Whether Given Four Points Form Pythagorean Quadruple using Java programming language.

Java Program to Check Whether Given Four Points Form Pythagorean Quadruple

Before Jumping into the program directly let’s see how we can Check Whether Given Four Points Form Pythagorean Quadruple.

Explanation:

Let 
l be the length, 
b be the breadth, 
h be the height and 
d be the diagonal of the quadruple.
If (l*l)+(b*b)+(h*h)=(d*d) then it is said to be Pythagorean quadruple.

Example:

Suppose we have below values 
l = 1
b = 2
h = 2
d = 3
Then according to Pythagorean quadruple principle,

LHS
(l*l)+(b*b)+(h*h) = 1+4+4 = 9

RHS
d*d = 3*3 = 9

Since LHS = RHS
Therefore it is said to be Pythagorean quadruple.

Let’s see different ways to check whether given four points form Pythagorean quadruple or not.

By Using Static Input Values
By Using User Input Values

Method-1: Java Program to Check Whether Given Four Points Form Pythagorean Quadruple By Using Static Value

Approach:

Declare an integer variable say ‘l’, ‘b’, ‘h’, ‘d’ and assign the value to it, which holds the value of length, breadth, height, diagonal of quadruple respectively.
Find the LHS and RHS of the formula (l*l)+(b*b)+(h*h)=(d*d)
If LHS is equal to RHS then four points are from Pythagorean quadruple.
Print the result.

Program:

class Main
{
    public static void main(String[] args)
    {
        //length, breadth, height, diagonal value declared
        int l = 1;
        int b = 2;
        int h = 2;
        int d = 3;
        //find sum of (l*l)+(b*b)+(h*h)
        int sum = (l*l)+(b*b)+(h*h);
        //check the sum is equal to d*d or not
        if(sum == d*d)
            System.out.println("It is a Pythagorean quadruple");
        else
            System.out.println("It is not a Pythagorean quadruple");
    }
}

Output:

It is a Pythagorean quadruple

Method-2: Java Program to Check Whether Given Four Points Form Pythagorean Quadruple By Using User Input Value

Approach:

Declare an integer variable say ‘l’, ‘b’, ‘h’, ‘d’ and take the values as user input by using Scanner class, which holds the value of length, breadth, height and diagonal of quadruple respectively.
Find the LHS and RHS of the formula (l*l)+(b*b)+(h*h)=(d*d)
If LHS is equal to RHS then four points are from Pythagorean quadruple.
Print the result.

Program:

import java.util.*;

class Main
{
    public static void main(String[] args)
    {
        //Scanner class object created
        Scanner s = new Scanner(System.in);
        System.out.println("Enter the value of l:");
        int l = s.nextInt();
        System.out.println("Enter the value of b:");
        int b = s.nextInt();
        System.out.println("Enter the value of h:");
        int h = s.nextInt();
        System.out.println("Enter the value of d:");
        int d = s.nextInt();

        //find sum of (l*l)+(b*b)+(h*h)
        int sum = (l*l)+(b*b)+(h*h);
        //check the sum is equal to d*d or not
        if(sum == d*d)
            System.out.println("It is a Pythagorean quadruple");
        else
            System.out.println("It is not a Pythagorean quadruple");
    }
}

Output:

Case-1
Enter the value of l:
1
Enter the value of b:
2
Enter the value of h:
2
Enter the value of d:
3
It is a Pythagorean quadruple

Case-2
Enter the value of l:
3
Enter the value of b:
4
Enter the value of h:
5
Enter the value of d:
6
It is not a Pythagorean quadruple

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