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the square on the hypoteneuse is equal to the sum of the squares on the other two sides.
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What are some of the uses of the Pythagorean Theorem today?
Architecture of buildings
What are some contributions to mathematics by Pythagoras?
He came up with the pythagorean theorem
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 His theorem is not only important in 2-D geometry, but also in 3-D geometry. Video games environments are drawn in 3-D using all triangles. i got this information from a website called: [See below for the related link to this website]. This website tells you all about how the Pythagorean theorem is used in modern day.
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, sincethe diagonal is the hypotenuse of the right triangle formed by the sides of thefigure. 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 are 3 main discoveries of Pythagoras?
Pythagoras biggest impact on people today was the Pythagorean Theorem. Some other things he has influenced people with are the discovery that music notes could be used in mathematical problems, he devising the tetractys, and which is a triangular figure of four rows
Has anyone developed on the Pythagorean theorem after Euclid?
Yes. There are hundreds of proofs of the theorem: some were brought together by ES Loomes in a book called The Pythagorean Proposition.
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 Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².Related LinksA website with 93 proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/index.shtmlAn award-winning applet that demonstrates one of the most famous proofs of the Pythagorean Theorem. http://www.cut-the-knot.org/pythagoras/morey.shtml
What are some of the uses of the Pythagorean Theorem today?
Architecture of buildings
What are some contributions to mathematics by Pythagoras?
He came up with the pythagorean theorem
What are some Pythagoras's contributions to society?
the pythagorean theorem and the tetractys of the decad
What are some examples of an Pythagorean Theorem?
3^3+4^4=5^5
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.
Who invinted the pythagorean theorem?
some guy named pythygoras, a bunch of other people invented it wayyy earlier
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 His theorem is not only important in 2-D geometry, but also in 3-D geometry. Video games environments are drawn in 3-D using all triangles. i got this information from a website called: [See below for the related link to this website]. This website tells you all about how the Pythagorean theorem is used in modern day.
What are some famous discoveries by Pythagoras other than the Pythagorean theorem?
He founded the Pythagorean School and Society, which gained political influence in Croton, Italy, and influenced philosophers and mathematicians for centuries thereafter.
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.
When did Greece invent the Pythagorean theorem?
The Pythagorean theorem was, oddly enough, first postulated by a Greek named Pythagoras of Samos, in the 6th century BC or so. It basically described the relationship among the three sides of a triangle and the areas of the same. There is some thought that Babylonian mathematicians well before the time of Pythagoras knew of the relationship, but he's the guy who got his name on the theorem.
