Learn the Pythagoras theorem statement, formula and proof with examples and applications. Find the length of an unknown side or angle of a right-angled triangle using the formula c2 = a2 + b2. Learn the Pythagorean theorem , a fundamental relation in Euclidean geometry between the three sides of a right triangle. See different proofs, generalizations, and applications of the theorem . 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). Learn the formula , definition, proof and examples of the Pythagorean Theorem for right triangles. Find out how to use it to calculate missing side lengths and check if a triangle has a right angle.

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