#include <iostream>
#include <cmath>
/*
A Pythagorean triple is a set of three positive integers (a, b, c)
that satisfy the Pythagorean theorem:
a^2 + b^2 = c^2
These represent the side lengths of a right triangle.
The smallest and most famous Pythagorean triple is (3, 4, 5).
*/
// Function to find the first Pythagorean triple
void findFirstPythagoreanTriple() {
for (int a = 1; a <= 100; a++) {
for (int b = a; b <= 100; b++) {
int c2 = a*a + b*b; // c^2
int c = static_cast<int>(sqrt(c2));
if (c * c == c2) { // Check if c is an integer
std::cout << "First Pythagorean triple: "
<< a << ", " << b << ", " << c << std::endl;
return;
}
}
}
}
int main() {
findFirstPythagoreanTriple();
}
/*
run:
First Pythagorean triple: 3, 4, 5
*/
