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The Pythagorean theorem states that in a right-angled 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 (legs). Pythagoras Theorem – Define, Formula and Solved Example Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides (base and perpendicular)”. The Pythagoras theorem , also known as Pythagorean theorem is used to find the sides of a right-angled triangle. This theorem is mostly used in Trigonometry, where we use trigonometric ratios such as sine, cos, tan to find the length of the sides of the right triangle. In this article, we will learn about the Pythagoras theorem statement, its formula , proof, examples, applications, and converse of Pythagoras theorem in detail.