/**
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).
*/
public class FirstPythagoreanTriple {
// Function to find the first Pythagorean triple
public static 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 = (int) Math.sqrt(c2);
if (c * c == c2) { // Check if c is an integer
System.out.println("First Pythagorean triple: " + a + ", " + b + ", " + c);
return;
}
}
}
}
public static void main(String[] args) {
findFirstPythagoreanTriple();
}
}
/*
run:
First Pythagorean triple: 3, 4, 5
*/
