What is the Pythagorean Theorem?

The Pythagorean Theorem is a fundamental principle in geometry that relates the lengths of the sides of a right triangle. According to this theorem, the square of the length of the hypotenuse (the side opposite the right angle, denoted as c) is equal to the sum of the squares of the lengths of the other two sides (denoted as a and b). This relationship is expressed mathematically as a² + b² = c², which is why the first option is the correct answer.

This theorem is especially important in various fields such as mathematics, physics, engineering, and many real-world applications involving distances and measurements. For example, if you know the lengths of two sides of a right triangle, you can use the Pythagorean Theorem to find the length of the hypotenuse, which is vital for tasks that require accurate measurements.

The other options represent different mathematical concepts that do not accurately describe the relationship between the sides of a right triangle. For example, the sum of the angles in a triangle equals 180 degrees, but this is not relevant in the context of the Pythagorean Theorem. Thus, understanding this relationship is crucial for working with right triangles and for solving many practical