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Theorem of Pythagoras

The Pythagorean Theorem states that in a right triangle (a triangle with one 90-degree angle), the square of the length of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the other two sides. If you label the sides a and b, and the hypotenuse c, the formula is c² = a² + b². This relationship helps determine the length of one side when the other two are known, and it’s fundamental in geometry, trigonometry, and many practical applications involving distances and angles.