How do we Derive the Pythagoras Theorem

How do we Derive the Pythagoras Theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras’ theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the « Pythagorean equation »:^[1]

where c represents the length of the hypotenuse and a and b the lengths of the triangle’s other two sides. The theorem, whose history is the subject of much debate, is named for the ancient Greek thinker Pythagoras.