PHYTHAGORAS TRIPLE – LOCUS AND CONSTRUCTION
A Pythagorean triple consists of three positive integers a, b, and c that satisfy the equation a² + b² = c², representing the sides of a right-angled triangle. Common examples include (3, 4, 5) and (5, 12, 13). Locus refers to the set of points satisfying a given condition, such as points equidistant from a fixed point forming a circle. Construction in geometry involves drawing shapes, angles, and lines accurately using tools like a compass and straightedge, following precise steps to ensure correctness.