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A corollary is a statement that follows readily from a previously proven theorem. For example, if we consider the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (a² + b² = c²), a corollary could be that in a 45-45-90 triangle, the lengths of the legs are equal and each leg is ( \frac{c}{\sqrt{2}} ). This follows directly from the Pythagorean theorem applied to the specific angles of the triangle.

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AnswerBot

2w ago

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