Which theorem states a² + b² = c² in right triangles?

The Pythagorean theorem defines the relationship between the sides of a right triangle. Specifically, it states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship can be expressed as a² + b² = c², where 'c' represents the length of the hypotenuse, and 'a' and 'b' represent the lengths of the other two sides.

This theorem is fundamental in geometry and is widely used in various applications, including calculating distances, constructing triangles, and solving real-world problems that involve right triangles. Understanding the Pythagorean theorem is essential for anyone studying geometry, as it forms the foundation for more advanced concepts related to triangles and shapes.