Question

C code.

Write a program to find all the triangles with integer side lengths and a user

specified perimeter. Perimeter is the sum of all the sides of the triangle. Integers a,

b and c form a triangle if the sum of the lengths of any two sides is greater than the

third side. Your program should find all the triples a, b and c where a + b + c is user

specified perimeter value. Print each triple only once in increasing order. For example,

3, 4 and 5 forms a triple with perimeter 12. Only print 3 4 5 instead of printing all

the permutations of the triple.

Sample output for this recitation is as follows

Enter perimeter

24

Triangles with perimeter 24

2 11 11

3 10 11

4 9 11

4 10 10

5 8 11

5 9 10

6 7 11

6 8 10

6 9 9

7 7 10

7 8 9

8 8 8

Count = 12

Test your program with different values for perimeter. Number of such triangles is know

as Alcuin’s sequence and list of values is available at http://oeis.org/A005044/list

You need to use nested loops for this problem. Name your program recitation2.c

Write a program to find all the triangles with integer side lengths and a user

specified perimeter. Perimeter is the sum of all the sides of the triangle. Integers a,

b and c form a triangle if the sum of the lengths of any two sides is greater than the

third side. Your program should find all the triples a, b and c where a + b + c is user

specified perimeter value. Print each triple only once in increasing order. For example,

3, 4 and 5 forms a triple with perimeter 12. Only print 3 4 5 instead of printing all

the permutations of the triple.

Sample output for this recitation is as follows

Enter perimeter

24

Triangles with perimeter 24

2 11 11

3 10 11

4 9 11

4 10 10

5 8 11

5 9 10

6 7 11

6 8 10

6 9 9

7 7 10

7 8 9

8 8 8

Count = 12

Test your program with different values for perimeter. Number of such triangles is know

as Alcuin’s sequence and list of values is available at http://oeis.org/A005044/list

You need to use nested loops for this problem. Name your program recitation2.c

Answer 1

//If you have any doubt please comment me

Code:-

              #include <stdio.h>
int main()
{
    int n;
    printf("Enter perimeter\n");
    scanf("%d",&n);
    printf("Triangles with perimeter %d\n",n);
    int count = 0;   //it is used for the counting total number of ways
    for(int a = 2 ; a < n; ++a)
    {
        for(int b = a; b < n; ++b)
        {
            for(int c = a; c < n; ++c)
            {
                if(a+b+c == n)
                {
                   if((a<=b) && (b<=c) && (a+b >c))
                    {
                       ++count;
                         printf("%d %d %d\n",a,b,c);
                    }
                }
            }
        }
    }
    printf("Count = %d",count);
    return 0;
}

Output1:-

Output2:-