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The formula was never invented but it was discovered by the ancient mathematicians who found that for any right angle triangle the square if its hypotenuse is equal to the sum of the squares of it sides.

Nowadays it's known as Pythagoras' theorem and the formula is:-

a2+b2 = c2 whereas a and b are the sides of the right angle triangle with c being its hypotenuse or longest side

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Q: Who invented the formula of Pythagoras?
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