Pythagoras’s theorem is a fundamental theorem in geometry that relates to the sides of a right-angled triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In mathematical notation, it can be expressed as:

a^2 + b^2 = c^2

where “a” and “b” are the lengths of the two shorter sides of the triangle, and “c” is the length of the hypotenuse.

This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery. It has numerous applications in mathematics and physics, including the calculation of distances, angles, and areas, as well as in solving problems in trigonometry and calculus. The Pythagorean theorem is also the basis for the Pythagorean triple, a set of three positive integers that satisfy the theorem, such as (3, 4, 5).

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