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Your question is so confusing that I almost trashed it and am not sure yet what you want to know but I have a possible idea : consider a right triangle each of whose legs have length 1. By the Pythagorean theorem, the hypotenuse has length equal to the square root of 2. The square root of 2 is irrational- one can prove it is not equal to any fraction of integers, yet it is obviously is a number of some kind. Thus the number system had to be extended to include numbers of this kind.

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How does postulate becomes a theorem.?

When a postulate has been proven it becomes a theorem.


Why does a binomial distribution become more skewed as n increases?

As n increases, the distribution becomes more normal per the central limit theorem.


When using the pythagorean theorem if you had to round to the nearest hundred how would you do so?

Sometimes it is advantageous to express a value in round numbers. To round to a particular place, look at the digit immediately to the right of the one you want to round to, in this case, the tens place. If that digit is 4, 3, 2, 1 or 0, zero it and everything to the right of it out. If that digit is 5, 6, 7, 8 or 9, increase your target digit by one and zero everything to the right of it out. If your target digit is 9, it will become a zero and increase the digit to the left of it by one.


What happens to the hypotenuse of a right triangle if you double the length of the legs of the triangle?

If you double the lengths of the legs of a right triangle, the lengths of the new legs become 2a and 2b (if the original legs are a and b). According to the Pythagorean theorem, the hypotenuse (c) of the original triangle is given by (c = \sqrt{a^2 + b^2}). When you double the legs, the new hypotenuse becomes (c' = \sqrt{(2a)^2 + (2b)^2} = \sqrt{4a^2 + 4b^2} = 2\sqrt{a^2 + b^2} = 2c). Therefore, the hypotenuse also doubles in length.


What causes a hypothesis to be rejected?

A hypothesis will be rejected if it fails the necessary testing required for it to become a scientific theory.

Related Questions

How does postulate becomes a theorem.?

When a postulate has been proven it becomes a theorem.


How did Pythagoras become so famous?

Because Pythagoras was the first person to prove the pythagorean theorem correct and his philosophy influence all other philosophers after his death, incluing Plato and Aristotle. His Pythagorean School gained influence and respect during the years around 520 BC in Italy. His Society was spread all throughout Europe and Asia.


Which is an example of thory tht has been proved true?

A THEORY that has been proved true would become a THEOREM. One example is the Pythagorean Theorem, a very famous math theorem that tells that in a right triangle, the squared lengths of both legs (sides adjacent to the right angle) add up to the squared length of the hypotenuse (side opposite the right angle). Theorem: a and b are legs, c is the hypotenuse. a^2+b^2=c^2, as with the example 3^2+4^2=5^2 9 + 16 =25


What did thales do to become famous?

With his Geomentry Famous Thales Theorem


Is it necessary to incorporate an online business that is not yet making a profit?

If you are interested in your business being a corporation, than you should incorporate before making a profit, not after. It is just one of the first steps to a successful business and will help you in both record-keeping and being prepared to file your taxes after you become profitable.


Did any other mathematicians become influenced by Pythagoras?

Yes, Pythagoras significantly influenced later mathematicians and philosophers, particularly during the Classical Greek period. His ideas on mathematics, particularly the relationship between numbers and geometry, shaped the work of figures like Plato and Euclid. The Pythagorean theorem, in particular, became a foundational concept in geometry that continues to impact mathematics today. Additionally, the Pythagorean emphasis on numbers and their mystical properties influenced the development of number theory and mathematical philosophy.


Should a landlord incorporate or become an llc?

Absolutely, for creditor protection purposes.


When did treaties becom necessary?

When did treaties become necessary?


When does a child's sense of time become clearer?

My child's sense of time was very hard to develop. I kept him locked in a closet with no windows for weeks at a time because he didn't get an A on his report card..keep in mind that he is in kindergarten i was quite distraught that he couldn't find the Pythagorean theorem. He finally figured it out when I made him sleep outside and it got dark at night time ^_^ hope this helped


Is it true any hunch you have is a good as a scientific theory?

a theorem rather, it has to be proven to become an accepted theory.


Is it true that any hunch you have is a good as a scientific theory?

a theorem rather, it has to be proven to become an accepted theory.


What training is necessary to become a pediatricion?

there is about 11 years of school that is necessary.