Right angle triangle

Lesson 16 of 20 in Coddy's Mathematical Riddles course.

A Pythagorean triplet {a, b, c} forms right angle triangle.

The perimeter, p, of a right angle triangle with integer length sides, {a, b, c}, is the sum, p = a+b+c.

Examples:

{3, 4, 5} with p = 12,
{30, 40, 50}, {20, 48, 52}, {24, 45, 51} with p = 120.

Challenge

Medium

There exists exactly one Pythagorean triplet for which a + b + c = 1000.

Write a function calcSpecialPythagoreanTriplet that return a list with this triplet.

Try it yourself

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdbool.h>
#include "solution.h"

int main() {
    int rs = 0;
    int* r = calcSpecialPythagoreanTriplet(&rs);
    for (int i = 0; i < rs; i++) {
        if (i > 0) printf(" ");
        printf("%d", r[i]);
    }
    printf("\n");
    return 0;
}