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In the Pythagorean theorem, the term ( b^2 ) represents the area of a square constructed on the length of side ( b ) of a right triangle. The theorem states that in a right triangle, the sum of the areas of the squares on the two shorter sides (legs), ( a^2 + b^2 ), is equal to the area of the square on the hypotenuse ( c^2 ). This relationship arises from the geometric properties of squares and the definition of right triangles, illustrating how distances in Euclidean space relate to one another.

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4mo ago

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