# 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

### State and prove Arzela Ascoli theorem?

I will give a link that explains and proves the theorem.

### Definition of kleene's theorem plus example?

kleene's theorem state that those who defined fa

### What does the triangle inequality theorem state?

The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides.

### What does the fundamental theorem of arithmetic state?

Fundamental theorem of arithmetic :- Every composite number can be expressed (factorized) as a product of primes, and this factorization is unique . apart from the other in which factors occur.

### Why did Fermat's theorem seem easy?

Pythagoras's theorem, that in a right angled triangle, a2 + b2 = c2 where c is the hypotenuse and a and b are the other two sides is easy to state and its proof has been known for centuries. Fermat's last theorem is analogous but opposite, and is equally easy to state: For any index (power) greater than 2, the analogy of Pythagoras's theorem has no integer solution (other than trivial ones eg a =… Read More

### State the Perpendicular Bisector Theorem and its converse as a biconditional?

Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.

### State and prove convolution theorem for fourier transform?

Convolution Theorems The convolution theorem states that convolution in time domain corresponds to multiplication in frequency domain and vice versa: Proof of (a): Proof of (b):

### State cook's theorem?

In computational complexity theory, Cook's theorem, also known as the Cook–Levin theorem, states that the Boolean satisfiability problem is NP-complete. That is, any problem in NP can be reduced in polynomial time by a deterministic Turing machine to the problem of determining whether a Boolean formula is satisfiable.

### State sampling theorem?

sampling theorem is defined as , the sampling frequency should be greater than or equal to 2*maximum frequency, and the frequency should be bounded.. i,e fs=2*fmax where fs= sampling frequency

### What does Pythagoras' most famous proof state?

This is known as the Pythagorean Theorem. This theorem states: a^2 + b^2 = c^2. A and b represent the two legs of a right triangle, while c represents the hypotenuse.

### What does the HL Congruence Theorem state?

HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent. sss

### What are the aspects of Pythagoras theorem?

There are 19 various aspects of Pythagoras theorem. Pythagorean Theorem (1) Pythagoras Theorem(2) Pythagorean Theorem (3) Pythagorean Theorem (4) Pythagoras Theorem(5) Pythagorean Theorem(6) Pythagrean Theorem(7) Pythagoras Theorem(8) Pythagorean Theorem (9) Hyppocrates' lunar Minimum Distance Shortest Distance Quadrangular Pyramid (1) Quadrangular Pyramid (2) Origami Two Poles Pythagoras Tree(1) Pythagoras Tree(2) Theorem by Pappus

### How do you solve a remainder theorem?

You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.

### State and prove stokes theorem?

You can find an introduction to Stokes' Theorem in the corresponding Wikipedia article - as well as a short explanation that makes it seem reasonable. Perhaps you can find a proof under the links at the bottom of the Wikipedia article ("Further reading").

### What is the factor theorem?

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if

### What does factor theorem mean?

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if

### Can a theorem be proven using a corollary?

No, a corollary follows from a theorem that has been proven. Of course, a theorem can be proven using a corollary to a previous theorem.

### What is Pick's Theorem?

Pick's Theorem is a theorem that is used to find the area of polygons that have vertices that are points on a lattice. George Pick created Pick's Theorem.

### What is the formula for a theorem?

There is no formula for a theorem. A theorem is a proposition that has been or needs to be proved using explicit assumptions.

### What was stated in the gougu theorem?

The gougu theorem was the Chinese version of the Pythagorean theorem, they stated the same principle

### Can a corollary be used to prove a theorem?

Yes, the corollary to one theorem can be used to prove another theorem.

### What does the angle sum theorem for triangles state?

Presumably it states that for any triangle its 3 interior angles add up to 180 degrees.

### State and explain Theorem of transmissibility of forces?

states that the external effect of force are independent of the point of application of the force along its line of action.

### What are the applications of Norton theorem?

Both Thévenin's theorem and Norton's theorem are used to simplify circuits, for circuit analysis.

### What is the proof for theorem 1.20?

There is no theorem with the standard name "1.20". This is probably a non-standard name from a textbook which is either the 20th theorem in the first chapter or a theorem of the 20th section of the first chapter.

### How do you state the Pythagoras Theorem?

the formula is a squared + b squared = c squared to find the hypotenuse (the longest side) find the square root of you previous answer.

### State the characterictics prime numbers share?

The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.

### State Perpendicular axis theorem?

if xx and yy be the two axes and the moment of inertia of them be Ixx and Iyy then the moment of inertia about the zz axes will be Izz

### 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.

### 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.

### Can a theorem be easily proved using corollary?

Yes, but only a corollary to another theorem that has been proved. A corollary follows from a theorem.

### What does the Pythagorean theorem state and which triangle does it apply to?

This particular theorem states that the sum of the squares of the two sides of a triangle always equals to the square of the hypotenuse or the biggest side of the triangle. It applies only to right triangles. Right triangles have only one right angle and is always opposite to the hypotenuse.

### What are the illustrations of the Pythagoras theorem?

To know about Pythagoras theorem in detail