What is Pythagoras theorem

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry between 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.

The theorem can be expressed as an equation connecting the lengths of the sides a, b, and the hypotenuse c, known as the Pythagorean equation:[1]

displaystyle a2+b2=c2.displaystyle a2+b2=c2.

The theorem is named after the Greek philosopher Pythagoras, who was born approximately 570 BC. The theorem has been proved multiple times using various methods, arguably the most for any mathematical theorem. There are numerous proofs, including geometric proofs.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry between 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.

The theorem can be expressed as an equation connecting the lengths of the sides a, b, and the hypotenuse c, known as the Pythagorean equation:[1]

displaystyle a2+b2=c2.displaystyle a2+b2=c2.

The theorem is named after the Greek philosopher Pythagoras, who was born approximately 570 BC. The theorem has been proved multiple times using various methods, arguably the most for any mathematical theorem. There are numerous proofs, including geometric proofs.