# 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.

### What is the proof of the Pythagorean Theorem?

Well, there are many, many proofs of the Pythagorean Theorem. Some sources have as many as 93 proofs. Here is my favorite, but others are listed in the math website in Related Links (below). This is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY, taken from the first website, proof # 21. The first proof I merely pass on from the excellent discussion in the Project… Read More

### What are some Pythagoras's contributions to society?

the pythagorean theorem and the tetractys of the decad

### What are some contributions to mathematics by Pythagoras?

He came up with the pythagorean theorem

### What were some important accomplishments of Pythagoras?

Pythagoras was noted for his contributions to religious teachings and his philosophy. However his biggest accomplishment was noted as being the Pythagorean theorem in mathematics of which was named after him. The Pythagorean theorem represents the three sides of a right angle triangle.

### How is the pythagorean theorem used in modern day times?

The Pythagorean theorem is used for many things today. For example, it can be used for building. Putting in flooring deals with squares and triangles using the Pythagorean Theorem. Some builders use this formula, because they can find the missing sides. The Pythagorean theorem plays an important role in mathematics, too. For example: -It is the basis of trigonometry -using the theorems arithmetic form, it connects algebra and geometry. -It is linked to fractal geometry… Read More

### What US president published a proof of the Pythagorean theorem?

James Garfield created a new proof for this famous theorem. The proof is algebraic in nature and appears in some geometry books.

### How does the pythagorean theorem prove irrational numbers?

It does not. If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.

### How to figure the length of one side of a triangle with only the length of the long side and some degrees?

you might be able to use tangent, sine, or cosine. you might be able to use the Pythagorean theorem, or you can used 30-60-90 triangle theorem or 45-45-90 triangle theorem

### What are some examples of geometry?

An example of geometry is the Pythagorean Theorem which states that IF A spuared plus B squared = C squared then it is a right traingle!! there ya go

### What is the formula for diagonals?

You solve diagonals by finding the two perpendicular bases. You do the Pythagorean theorem to find them out. The diagonal of a rectangle can be found with the Pythagorean Theorem, since the diagonal is the hypotenuse of the right triangle formed by the sides of the figure. It is the square root of the sum of the squares of the two sides. Finding the diagonal of a parallelogram would require some knowledge of trig., e.g… Read More

### Did Thales have anything to do with the Pythagorean Theorem?

While the historical record is unclear about precise influences, it seems likely that Thales of Miletus (circa 620-546 BC/BCE) had some impact on the thinking of the apparent discoverer of the Pythagorean Theorem, namely, Pythagoras (circa 570-495). Given the prestige of Thales in his day, along with his own careful research into mathematical theorems, it is reasonable to conclude that Pythagoras was inspired, and perhaps much more, by the mathematical work of Thales.

### Why does the Pythagorean theorem work on only right triangles?

There is a Pythagorean theorem that actually works for every triangle. Its just that for right triangles it can be simplified to A2+B2=C2 due to the properties of cosines. The law of cosines states that for a triangle with sides A, B, and C, and angles a, b, and c (with side C being opposite angle c), C2 = A2 + B2 - (2 x A x B x cos c). This formula will work… Read More

### What is the formular for diagonals?

The diagonal of a rectangle can be found with the Pythagorean Theorem, since the diagonal is the hypotenuse of the right triangle formed by the sides of the figure. It is the square root of the sum of the squares of the two sides. Finding the diagonal of a parallelogram would require some knowledge of trig., e.g. the law of cosines, or something equivalent.

### What do people in pre algebra do?

it depends what textbook you have. basically it's ratio, proportion, division of fractions, the pythagorean theorem, surface area, volume, compound and simple interest, markup and selling prices, formulas, simplifying exponential expressions, and so on. there's a lot more but this is some from the Foundations for Algebra series. Hope this helps!

### What are the some of the functions of skin?

skin water proofs you and protects your body from germs

### How do you find the perpendicular height of a triangle?

If it is a right triangle, you can use the Pythagorean theorem to find the height since it will be on of the sides. If it is an equilateral triangle, you can break it up into two right triangles and use the part above. If it is an oblique triangle, you use the angles and some trigonometry to find it. Since the area is 1/2 b x h, if you are given the area, you… Read More

### Did Jose Rizal and Josephine Bracken get married?

Some believed that they were married, but there were no proofs of their wedding.

### Are there any proofs about werewolves?

Some prince drew a picture and claimed to have seen one. I don't know about 'proofs about werewolves' but there are proofs by werewolves. The Law of Cosines was first proven by Lawrance of Tielina, a suspected lypatrophe. on monster quest they had said that there was a chance that large wolves that may be werewolves or lycans exist just not found yet

### Did monkeys turn into people?

The Darwinian theorem of evolution dictates that humans did not descend from monkeys, but rather we (both humans and monkeys, apes too), descended from some common ancestor. A common misconception about evolution is that humans evolved from monkeys when in truth we evolved from so other entity entirely.

### What did Pythagoras do for mathematics?

Greek Mathematician Pythagoras is considered by some to be one of the first great mathematicians. Living around 570 to 495 BC, in modern day Greece, he is known to have founded the Pythagorean cult, who were noted by Aristotle to be one of the first groups to actively study and advance mathematics. He is also commonly credited with the Pythagorean Theorem within trigonometry. However, some sources doubt that is was him who constructed the proof… Read More

### Why do you use pythagorean theorem?

The Pythagorean theorem is used to describe the relationship of the hypotenuse (the longest side) of a right triangle to its other two sides, where a right triangle is described as a three-sided shape where the angle between two of its sides is square, or 90 degrees. We can use the theorem, for example, to determine the shortest linear distance between one point and another, as long as we know how far to it is… Read More

### Why doesnt energy disappear?

It has been found by experience that energy is conserved. Currently, the conservation of energy is derived from Noether's Theorem, but that is some very advanced math. It has been found by experience that energy is conserved. Currently, the conservation of energy is derived from Noether's Theorem, but that is some very advanced math. It has been found by experience that energy is conserved. Currently, the conservation of energy is derived from Noether's Theorem, but… Read More

### Are the proofs enough to believe that there will end of the world in 2012?

Yes Of Course they are Enough Here are some Following Proofs: 1.Water Pollution 2.Air Pollution 3.World War 3 and One More Logic was that the Clock also ends at 12

### What are some examples of science principles?

Physics : I can not lift my own body by my hair because I have no fulcrum. - Math (Geometry) : Pythagorean theorem for right triangles : The square of the Hypotenuse has the same value as the sum of the squares of the two remaining sides. (c2=a2b2). - Astronomy : The sun rises in the East and sets in the West because the Earth spins from West to East. - Biology : The… Read More

### Who made pythagorean?

The History of Pythagoras and his Theorem In this section you will learn about the life of Pythagoras and how it is that the theorem is known as the Pythagorean Theorem. Be aware that there are no good records about the life of Pythagoras, so the exact dates and other issues are not known with certainty. In addition, the names of some of the people as well as the places where Pythagoras lived may have… Read More

### Why does 2 plus 2 equals -π?

It does not. Such "proofs" depend on some mathematical or logical fallacy that is not easy for an amateur to spot.

### Did René Descartes believe in God?

Absolutely! He developed some resounding proofs of God's existence that were used often in Western Philosophy

### How the Pythagoras's theorem appeared in some ancient Chinese literature?

They already knew it, Pythagoras just proved it

### How do you find initial velocity given only the x and y coordinates?

The question leaves a lot to the imagination, so some assumptions will have to be made. When you say only the x and y coordinates are known, we must assume that we have the coordinates of the starting and ending positions. If we know the time it took to move from the start to the end, we can then calculate the horizontal and vertical velocities. With that, we can do a vector addition to determine… Read More

### How old was Pythagoras when he discovered Pythagoras theorem?

Pythagoras lived from 571 BCE to 495 BCE, so he was about 76 when he died. Pythagoras and his students are often said to have constructed the first proof of this useful theorem. Pythagoras had a school with many students. but the school was secretive, and the students gave their teacher for what they discovered. Because of this, we don't know exactly who did what and when. In any case, it is clear from their… Read More

### What is the difference between a theorem and a theory?

From Wikipedia: In mathematics, a theorem is a statement proved on the basis of previously accepted or established statements. Definitively speaking, a theory is a unifying principle that explains a body of facts and the laws based on them. In other words, it is an explanation to a set of observations. Additionally, in contrast with a theorem the statement of the theory is generally accepted only in some tentative fashion as opposed to regarding it… Read More

### Why is bell-shaped distribution so common in nature?

It is a consequence of the Central Limit Theorem (CLT). Suppose you have a large number of independent random variables. Then, provided some fairly simple conditions are met, the CLT states that their mean has a distribution which approximates the Normal distribution - the bell curve.

### Why is the earth not flat?

The Coriolis Effect and the different time zones are some of the proofs that shows that the earth is not flat. Varying Star Constellations is another reason.

### Does the work energy theorem hold if friction acts on an object?

Yes, some work is converted into heat due to the friction.

### Tell some advantages of superposition theorem in circuit analysis?

It is applied not only for the elements f the network but also for the sourcesssss

### What are some uses of trigonometry in carpentry?

The Pythagorean Theorem: a^2+b^2=c^2, for checking squareness, a critical rule in carpentry. If two adjacent and perpendicular walls in a room are legs of a triangle, points a and b can be marked on each leg respectively and hypotenuse c measured with a tape measure (c) to confirm squareness or degree out of square. This can be used in many applications from framing to tiling. Most carpenters I've met use the 3-4-5 rule and don't… Read More

### What is the value of a Washington quarter dollar?

25 cents. Some types of Washington quarters (proofs) and some rare dates can have widely varying values, greater than their currency value.

### Do signs exist or is it coincidence?

Assuming by signs you mean portents and omens, some people have an irrational belief in them today. Their proofs are without doubt coincidence of contrived.

### Does 1 equal 2?

No. 1 does not equal 2, despite the number of "proofs" that abound; all of them require dividing by zero at some point and thus are undefined.

### Is the exterior angle sum theorem true for concave polygons?

Yes, if you interpret some of the exterior angles as having negative measure.

### What are some math terms?

A Abacus in Various Number Systems Abelian group Abscissa Absolute Geometry Absolute value Absolute value of a complex number Absorbtion identity Abundant Number Acute angle Acute triangle Adams' Circle Adams' Method of Apportionment Addition Addition Formula for Sine Additive Inverse Additivity Adjacency Affine-regular Polygon Affine Geometry Affine Space Affine Transformation Affirmative Action Problem Alabama Paradox Alexander the Great Algebraic numbers Algorithm Aliquot part All Triangles Are Isosceles Alternate Angle Alternating group Altitude An Airline Problem… Read More

### How can law of conversation of energy be demonstrated?

Nowadays it is demonstrated by Noether's Theorem. Note that this involves some fairly advanced math. The basic assumption (for the Theorem) is that the laws of physics don't change over time. Another kind of reasoning is by observation: in all known processes, energy is always conserved.

### Why do prime numbers matter?

Prime numbers are important for several applications, such as cryptography and information technology. They are also useful for some simpler tasks in mathematics (for example, finding the common factors of two numbers). Prime numbers are usefull in encryption because code breaking computers employ search algorithms that keep multiplying numbers together In order to find a combination to break the code, but if you have a very large prome, the code breaker probably won't find it… Read More

### What are the rules to solve a right triangle?

1.Pythagoras Theorem. 2.by some people have curly brown hairs till proper brushing.

### What is the use of lami's theorem?

It can be used to calculate some missing information, such as magnitude or direction of forces, when three concurrent coplanar forces are in equilibrium.

### What does proof mean in coinage feeld?

Proof coins are coins that are prepared on special blanks, struck twice or more to really have great detail, are usually hand-inspected and then placed in special cases for collectors. Proof coins are so shiny that you could use them as a mirror on the parts that don't have a design on them. Usually proof coins sell for much more than their circulation counterparts. Some proofs are struck in precious metal that circulation coins aren't… Read More

### What were some innovations in technology between 500 bc and 500 ad?

Mathematicians like Plato (also a philosopher) and Pythagoras. Pythagoras created the Pythagorean Theorem, in 530 BC, which stated that, in a right triangle, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²), otherwise known as a²+ b²= c². China began making cast iron in 500 BC and the Roman Aqueducts, which Romans used springs in hilly regions and built the Aqueduct at a certain angle… Read More