Results for: fermat-s-theorem-on-sums-of-two-squares

What are some of Pythagoras contributions to math?

Pythagoras is, of course, best remembered for the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sums of the squares of the other two sides. Full Answer

Was Fermat's Last Theorem really his last theorem?

This was not the last theorem that Fermat wrote. Rather, it was the last one to be proven/disproven. Full Answer

Recent mathematical inventions?

The solution to Fermat last theorem. Full Answer

Fermat's Last Theorem was invented by who in 1847?

It was 1647 not 1847 and by Fermat himself. Full Answer

Did fermat help Pythagoras make the pythagorean theorem?

No. Fermat was born in the 17th century, but Pythagoras died in about the 5th century BC, so there's no way Fermat could have helped him apart from going back in time. Full Answer

What two square numbers total 21?

There is no pair of perfect squares that sums to 21. And the question is pointless if it is not about perfect squares because in that case there are infinitely many answers. There is no pair of perfect squares that… Full Answer

What has the author George Winslow Pierce written?

George Winslow Pierce has written: 'The greater Fermat theorem proved' -- subject(s): Fermat's theorem 'A select circle' 'City life' -- subject(s): Accessible book Full Answer

What is the hypotnuse angle theorem?

The square on the hypotenuse is equal to the sum of the squares on the other two sides. Full Answer

How do you find hypotenuse square?

Sum the squares of the other two legs of the triangle. This is the Pythagorean Theorem. Full Answer

What is the rule which tests whether a prime number can be written as the sum of two different squares?

It is Fermat's theorem on the sum of two squares. An odd prime p can be expressed as a sum of two different squares if and only if p = 1 mod(4) Full Answer

Where did Fermat write his last theorem?

He didn't write it. What he did was to write in the margin of a book that he had a proof but there was not enough space to write it there. Full Answer

How do you express 61 as the sum of square of two rational numbers?

The sums of squares of sqrt(59) and sqrt(2) is 61. Full Answer

What is pythagoreans theorem?

The pythagorean Theorem is a theorem attributed to Pythagoras. It states that the square of the hypothenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. Therefore a²+b² =… Full Answer

How do you use the Pythagorean theorem when c is 36?

If you have two lengths of the triangle, the Pythagorean theorem will help you find the third. As it is, you need to find two numbers whose squares add up to 1296. There are a lot of possibilities. Full Answer

What are some common proofs for the Pythagorean theorem?

the square on the hypoteneuse is equal to the sum of the squares on the other two sides. Full Answer

What does pythagarean theorem state?

In a right triangle the square of hypotenuse is equal to the sum of squares of the other two sides Full Answer

Pythagorean theorem says that the triangle is a?

A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse. Full Answer

What is the pythagerean theorem?

It states that, in an right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Full Answer

Is anything named after Pierre de Fermat?

Yes, the famous Fermat's Last Theorem, a conjecture by Fermat, that an equation of the form an + bn = cn has no integer solution, for n > 2. This was conjectured by Fermat in 1637, but it was only… Full Answer

What was the pythagorean theorem used for?

The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two… Full Answer

What is the unsolved problem of fermat?

Fermat's Last Theorem, which took 358 years to prove, was that "no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two." The theorem was… Full Answer

Give a example of theorem on geometry?

An example is Pythagoras's Theorem: that the sum of the squares of the two shorter side lengths of a triangle with a right-angle is equal to the square of the length of the side opposite the right angle. Full Answer

What is the phaythagoras theory?

The Pythagoras theorem states that the square of the Hypotenuse of an isosilees triangle if equal to the sum of the squares of the other two sides Full Answer

What is the pythagorean theorem not just the formula?

The square on the hypotenuse of a right-angled triangle is equivalent to the sum of the squares on the two adjacent sides. Full Answer

What does the Pythagorean theorem tell you about the areas of the square?

The square of the hypotenuse of right triangle is equal to the sum of the squares of the two adjacent sides. Full Answer

When we use f distribution?

When comparing the sums of squares of normal variates. Full Answer

What is the Pythagorean theorem and who developed it?

In a right triangle Pythagoras (a Greek) discovered that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Full Answer

What were Pythagoras contributions to math?

Pythagoras is famous for the discovery of the geometrical Pythagorean theorem . the theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides in a right angled triangle, (a2… Full Answer

What is the theorem that states a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?

It is Pythagoras' theorem Full Answer

What is The Theorem States That In A Right Triangle The Square Of The Length Of The Hypotenuse Is Equal To The Sum of the squares of the length of the legs?

It is Pythagoras' theorem. Full Answer

What does semblance mean?

For an array of numbers, it is the square of the sums divided by the sum of the squares. Full Answer

Why wasn't Fermats last theorem written on paper?

But it was. That is why we know about it. If you mean why the PROOF was not written- Fermat wrote that he had found a wonderful proof for the theorem, but unfortunately the margin was too small to contain… Full Answer

What contribution best describes Pythagoras?

Famed as a philosopher and mathematician, his greatest contribution is believed to be the Pythagorean theorem. According to this geometrical theorem, the summation of squares of two sides of a right angle triangle is equals to the square of the… Full Answer

Which formula can be derived by using the Pythagorean theorem in the coordinate plane?

The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it… Full Answer

What is the theorem that ina right triangle the sumof the squares of both sides is equal to the hypotenuse?

To the SQUARE of the hypothenuse. That's Pythagoras' Theorem. Full Answer

What is Fermat's Sandwich Theorem?

This is a theorem by Fermat which states that 26 is the only positive integer number "sandwiched" between a cube (27=3^3) and a perfect square (25=5^2). The proof is elementary in number theory. Full Answer

Does the pythagorean theorem have a converse?

Yes. If the square of the longest side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is right angled. Full Answer

What was Pythagoras contribution to geometry?

Pythagoras contribution to geometry was the Pythagorean theorem, which states the square of the hypotenuse equals the sum of the squares of the other two sides of the triangle. Full Answer

What does the Pythagorean Theorem state for right triangles?

It states that the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides. Full Answer