Start New Discussion within our **Software Development Community** # Pythagorean Triples

```
/******************************************************
** Name:
** Filename: ptriples.cpp
** Project #: Deitel & Deitel 2.55
** Project Description: Find all Pythagorean triples for side1,
side2 and hypotenuse in which all sides are no larger than
500. Use a triple nested for loop that tries all possibilites.
** Output: All Pythagorean triples for side1,
side2 and hypotenuse in which all sides are no larger than
500.
** Input: None
** Algorithm: Instruct user of process to be performed.
If 500 or less then calculate using formula a^2 + b^2 = c^2
by running 3 loops to find all posible combinations
When combination equals a^2 + b^2 = c^2 then print out results,
and add up the number of solutions and print out solutions at
the end.
End program
******************************************************/
// Include files
#include <iostream> // used for cin, cout
#include <conio.h>
using namespace std;
// Global Type Declarations
// Function Prototypes
void instruct (void);
void pause ();
//Global Variables - should not be used without good reason.
int main ()
{
// Declaration section
int side1, // Side 1 of triangle
side2, // Side 2 of triangle
hyp, // Hypotenuse of triangle
sols = 0; // Number of pythogorean triples solutions
// Executable section
instruct ();
cout << "\nPossible combinations are:\n\n";
for (side1 = 1; side1 <= 500; side1++) {
for (side2 = 1; side2 <= 500; side2++) {
for (hyp = 1; hyp <= 500; hyp++) {
if (( side1 * side1 + side2 * side2) == hyp * hyp ){
cout << side1 << "\t" << side2 << "\t" << hyp << "\n";
++sols;
if ( sols % 10 == 0 )
pause ();
}
}
}
}
cout << "\nThere is a total of " << sols << " possible solutions"
<< endl ;
pause ();
return 0;
}
void instruct (void)
{
// Declaration section
cout << "This program will find all Pythagorean triples for\n"
<< "side1, side2 and hypotenuse in which all sides are no\n"
<< "larger than 500" << endl ;
// Executable section
}
void pause ()
{
// Declaration section
// Executable section
cout << "\nPress any key to continue...";
getch();
cout << "\r";
cout << " ";
cout << "\r";
}
/*
Program Output
This program will find all Pythagorean triples for
side1, side2 and hypotenuse in which all sides are no
larger than 500
Possible combinations are:
3 4 5
4 3 5
5 12 13
... ... ...
480 108 492
480 140 500
483 44 485
There is a total of 772 possible solutions
Press any key to continue...
*/
```