Generate Pythagorean triplets

Posted on Apr 8, 2020

C Program to generate Pythagorean triplets with values smaller than given limit (limit is entered by user).

A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².

The smallest pythagorean triplet is 3, 4, 5
32 + 42 = 9 + 16 = 25
52 = 25
So, 32 + 42 = 52

Input:
limit = 25
Output:
Pythogorean triplets are
3, 4, 5
5, 12, 13
6, 8, 10
7, 24, 25
8, 15, 17
9, 12, 15
12, 16, 20
15, 20, 25

Program 

#include<stdio.h>
#include<conio.h>
void main()
{
	int i, j, k, t, limit;
	printf("Enter the limit within which triplets are to be generated\t:");
	scanf("%d", &limit);
	printf("Pythagorean triplets are\n");
	for (i = 1; i <= limit; i++)
	{
		for (j = i + 1; j <= limit; j++)
		{
			t = (i*i) + (j*j);
			for (k = i + 2; k <= limit; k++)
			{
				if (t == k*k)
					printf("\t%d, %d, %d \n", i, j, k);
			}
		}
	}
	getch();
}

Output 

Enter the limit within which triplets are to be generated       :45
Pythagorean triplets are
        3, 4, 5
        5, 12, 13
        6, 8, 10
        7, 24, 25
        8, 15, 17
        9, 12, 15
        9, 40, 41
        10, 24, 26
        12, 16, 20
        12, 35, 37
        15, 20, 25
        15, 36, 39
        16, 30, 34
        18, 24, 30
        20, 21, 29
        21, 28, 35
        24, 32, 40
        27, 36, 45