what were Pythagora's four basic elelments?
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air,fire, water and earth
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Just draw a right triangle with short sides of 10 and 24.\n\nThe hypotenuse can be calculated by the Pythagorean theorem as the square root of 24^2 + 10^2.  That works out to 576 + 100 or 676.  The square root of 676 is 26.\n\nThe direction is roughly ENE (East North-East).
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Pythagorean Theorem\n \nLet's build up squares on the sides of a right triangle. Pythagoras' Theorem then claims that the sum of (the areas of) two small squares equals (the area of) the big one.\n\nIn algebraic terms, a2 + b2 = c2 where c is the hypotenuse while a and b are the legs of the triangle.\n\nThe theorem is of fundamental importance in the Euclidean Geometry where it serves as a basis for the definition of distance between two points. It's so basic and well known that, I believe, anyone who took geometry classes in high school couldn't fail to remember it long after other math notions got thoroughly forgotten.\n\nBelow is a collection of 69 approaches to proving the theorem. Some of the proofs are accompanied by Java illustrations, but most have been written in plain HTML.\n\nRemark\nThe statement of the Theorem was discovered on a Babylonian tablet circa 1900-1600 B.C. Whether Pythagoras (c.560-c.480 B.C.) or someone else from his School was the first to discover its proof can't be claimed with any degree of credibility. Euclid's (c 300 B.C.) Elements furnish the first and, later, the standard reference in Geometry. In fact Euclid supplied two very different proofs: the Proposition I.47 (First Book, Proposition 47) and VI.31. The Theorem is reversible which means that a triangle whose sides satisfy a2 + b2 = c2 is necessarily right angled. Euclid was the first (I.48) to mention and prove this fact.\n\nW. Dunham [Mathematical Universe] cites a book The Pythagorean Proposition by an early 20th century professor Elisha Scott Loomis. The book is a collection of 367 proofs of the Pythagorean Theorem and has been republished by NCTM in 1968.\n\nIn all likelihood, Loomis drew inspiration from a series of short articles in The American Mathematical Monthly published by B. F. Yanney and J. A. Calderhead in 1896-1899. Counting possible variations in calculations derived from the same geometric configurations, the potential number of proofs there grew into thousands. For example, the authors counted 45 proofs based on the diagram of proof #6 and virtually as many based on the diagram of #19 below. I'll give an example of their approach in proof #56. (In all, there were 100 "shorthand" proofs.)\n\nPythagorean Theorem generalizes to spaces of higher dimensions. Some of the generalizations are far from obvious.\n\nLarry Hoehn came up with a plane generalization which is related to the law of cosines but is shorter and looks nicer.\n\nThe Theorem whose formulation leads to the notion of Euclidean distance and Euclidean and Hilbert spaces, plays an important role in Mathematics as a whole. I began collecting math facts whose proof may be based on the Pythagorean Theorem.\n\nWherever all three sides of a right triangle are integers, their lengths form a Pythagorean triple (or Pythagorean numbers). There is a general formula for obtaining all such numbers.\n\nMy first math droodle was also related to the Pythagorean theorem. Unlike a proof without words, a droodle may suggest a statement, not just a proof.\n\nSeveral false proofs of the theorem have also been published. I shall collect some in a separate page. It is better to learn from mistakes of others than to commit one's own.\n\nIt is known that the Pythagorean Theorem is Equivalent to Parallel Postulate.\n\nThe Pythagorean configuration is known under many names, the Bride's Chair being probably the most popular. Besides the statement of the Pythagorean theorem, Bride's chair has many interesting properties, many quite elementary.\n\nProfessor Edsger W. Dijkstra found an absolutely stunning generalization of the Pythagorean theorem. If, in a triangle, angles a, b, g lie opposite the sides of length a, b, c, then\n\n(EWD) sign(a + b - g) = sign(a2 + b2 - c2),  \n\nwhere sign(t) is the signum function:\n\n  sign(t) = -1, for t < 0, \nsign(0) =  0, \nsign(t) =  1, for t > 0. \n \n\nThe theorem this page is devoted to is trea
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The first five squares are easy:\n1, 4, 9, 16, 25.\n\nRectangular:\n2, 6, 12, 20, 30\n\nTriangular:\n1, 3, 6, 10, 15\n\nPentagonals are:\n1, 5, 12, 22, 35
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Basic\nInstructions\nBefore\nLeaving\nEarth\n\nread the holy bible so you can have a better insite
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Pythagoras wrote nothing himself but preferred to leave his students to document his thoughts.\n\nHe taught many unusual doctrines including the veneration for - and the abstinence from eating of - beans. He also preached reincarnation and the transmigration of souls. He is largely responsible for the modern belief in numerology\n\nAccording to Pythagoras the ultimate nature of reality is number, an idea developed from his theory of music in which he proved that the interval between musical tones could be expressed as ratios of the first four numbers. He claimed that music has a special power over the soul.\n\nThe "Tetractys of the decad" was venerated by the Pythagoreans. This is a diagram that represents the first four numbers as a triangle of ten dots:\n-----*\n----* *\n---* * *\n--* * * *\n10 was called the perfect number because it is made up of the sum of the first four numbers.
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Oh c'mon! Smiddy hasn't had geometry for 20 years! but this is basic. Pythagorean theorem states that on a triangle A-squared plus B-squared = C-squared where C is the hypotenuse. The hypotenuse of a triangle is the diagonal bit if it's two halves of a square and we know by definition that on a square A and B are equal. Therefore 2X squared = 8-squared or 2x^2 = 64\n\nx^2 = 32\nx = sq.rt 32\n\nthe area of the original square is x times x so you're back at 32 square centimeters
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This lesson will allow you to figure out the Pythagorean Theorem all by yourself.  Go ahead and click on the preface link.\n\nhttp://www.arcytech.org/java/pythagoras/index.html
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it's the Pythagorean Theorem\n\nIn any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
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B. 4, 5, 6.\n\nThe others are known Pythagorean triples, but not this one. 4^2+5^2 > 6^2\n41 > 36
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Are you looking for someone to do your homework?\nGeometry is very simple. There are three basic shapes, The sphere, Triangle and the Square. Learn that a circle is nothing more than a shadow of a sphere and that shadow is but a line. The angle is your point of view. To solve for X you must know two of the three. X is only unknown for a very short time. There are 10 dimensions. Length, width, height, area, volume, weight, mass, velocity, time, and infinity. Any math problem may be solved if two or more dimensions are known. The lowest common denominator is two and if two of anything is known the third dimension will be also known.\nie. a triangle with equal sides is composed of 3, 60 degree angles, 60 + 60 + 60 = 180 degrees. Knowing that half of a circle which is half of a sphere multiply by the common denominator of 2 and 360 appears which is a sign for infinity, through in any of the dimensions given  such as volume, mass, velocity, etc. any problem can be solved. Linear problems are solved with the triangle also. For every side there is the other. Make the triangle square or draw a square and divided it in two by a linear line from the opposing corner. Solve the problem L x W x H and you have area. Divide the area of the square by two and you have the area of the triangle. Pi is infinity, in math it is 3.14 and then some. Pi is also the Greek word for the Egyption (word) hieroglift of the lazy 8 which is a symbol for infinity also, it is a mineral we call magnetite. Magnetite in crystal form is in the shape of tetrahedron which we know as a pyramid times 2. The numeral 8 is an Aribic number which means 4 + 4. It is not of any quincedence that a pyramid has four faces. The mystery of the pyramids has been solved by Paul Einstein. Geometry is fun if you know how it came to be.
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Euclid. a Hellenistic scholar living in Egypt in the 3rd Centiry BC.\n\nHis magnum opus was Elements, which wikipaedia summarise as follows:\n\nAlthough Elements is a geometric work, it also includes results that today would be classified as number theory. The contents of the work are as follows:\n\nBooks 1 through 4 deal with plane geometry:\n\nBook 1 contains the basic properties of geometry: the Pythagorean theorem, equality of angles and areas, parallelism, the sum of the angles in a triangle, and the three cases in which triangles are "equal" (have the same area).\n\nBook 2 is commonly called the "book of geometrical algebra," because the material it contains may easily be interpreted as algebra.\n\nBook 3 deals with circles and their properties: inscribed angles, tangents, the power of a point.\n\nBook 4 is concerned with inscribing and circumscribing triangles and regular polygons.\n\nBooks 5 through 10 introduce ratios and proportions:\n\nBook 5 is a treatise on proportions of magnitudes.\n\nBook 6 applies proportions to geometry: Thales' theorem, similar figures.\n\nBook 7 deals strictly with number theory: divisibility, prime numbers, greatest common divisor, least common multiple.\n\nBook 8 deals with proportions in number theory and geometric sequences.\n\nBook 9 applies the results of the preceding two books: the infinitude of prime numbers, the sum of a geometric series, perfect numbers.\n\nBook 10 attempts to classify incommensurable (in modern language, irrational) magnitudes by using the method of exhaustion, a precursor to integration.\n\nBooks 11 through 13 deal with spatial geometry:\n\nBook 11 generalizes the results of Books 1–6 to space: perpendicularity, parallelism, volumes of parallelepipeds.\n\nBook 12 calculates areas and volumes by using the method of exhaustion: cones, pyramids, cylinders, and the sphere.\n\nBook 13 generalizes Book 4 to space: golden section, the five regular (or Platonic) solids inscribed in a sphere
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The five named after Plato are\n\nTetrahedron: 4 triangular faces, 4 vertices, 6 edges\nCube: 6 square faces, 8 vertices, 12 edges\nOctahedron: 8 triangular faces, 6 vertices, 12 edges\nDodecahedron: 12 pentagonal faces, 20 vertices, 30 edges\nIcosahedron: 20 triangular faces, 12 vertices, 30 edges\n\nEuler's Rule E + 2 = F + V applies to all five aolids.
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Pythagoras’ Theorem \n"For any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.” \n\na2 + b2 = c2
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use pythagoras theorm,if left hand side is equal to right hand side then it is a right triangle.\n\nsince 8 is the biggest no here that means the length of hypotenues is 8. \n\nlet side 1 be a=4\nlet side 2 be b=4 sqrt(3)\nlet hypotenuese be c=8\n\naccording to pythagoras theorm,\n\n(a)*(a)+(b)*(b)=(c)*(c)\n\nL.H.S\n\n=4*4+4sqrt(3)*4sqrt(3)\n=16+48\n=64\n\nR.H.S\n=8*8\n=64\n\nsince L.H.S=R.H.S\n\ntherefore, it is a right triangle\n\nhope u understand it\nif u hv any prob u can contact me
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Pythagoras was a mathematician and also a philosopher. He made many contributions to knowledge.\n\nHe invented/formulated the Pythagorean theorem, for one thing.\n\nHe believed that everything in the universe could be represented by and associated with numbers.
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(4/3)*pi*r^3\n\n[four thirds pi r cubed]\n\ngood luck!