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Where was the Pythagorean theorem invented?
This theorem was not invented so much as evolved. All mathematical proofs and theorems evolve from simple math to more complex math. The related Wikipedia article explores and explains the history of this theorem.In short...Pythagoras, whose dates are commonly given as 569-475 BC, used algebraic methods to construct Pythagorean triples, according to Proklos's commentary on Euclid. Proklos, however, wrote between 410 and 485 AD. According to Sir Thomas L. Heath, there was no attribution of the theorem to Pythagoras for five centuries after Pythagoras lived. However, when authors such as Plutarch and Cicero attributed the theorem to Pythagoras, they did so in a way which suggests that the attribution was widely known and undoubted.Pythagoras was Greek and lived in Greece, so it can be assumed that he completed the theorem in Greece.
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!
You can use the Pythagorean theorem to solve problems that involve right triangles Provide an example of a day-to-day situation that involves triangles and the use of the theorem?
Gardeners who wish to dig square or rectangular flowerbeds in a lawn have long used a pratical method based on Pythagoras theorum. To ensure that the flower beds have right angle corners three bamboo canes of lengths 3 feet, 4 feet and 5 feet are joined together to form a triangle. As the squares of 3 (9) and 4 (16) added together give the square of 5 (25) this is practical proof of the theory. Another simple example of a situation which could utilize the Pythagorean theorem is if you had to reach a certain part on a wall (side A) with a ladder (Side C - the hypotenuse) and you have an obstacle on the ground so your ladder has to be a certain distance away from the wall (Side A), which could be represented as Side B. If we let A=15 ft and B=5 ft, we can use the Pythagorean theorem to find that the ladder (C) would need to be about 15.8 ft long.
A stair stringer is 8 feet high and extends 10 feet from the wall how long is the stair stringer?
Well this is a very simple problem if you read it correctly. Using the Pythagorean Theorem, you can solve it very quickly. The problem creates a triangle. The 8 feet forms the smallest leg, the 10 feet forms the larger leg, and the length of the stair stringer forms the hypotenuse, or in this case x. (When I first read the problem, I made the mistake of thinking of it as a Pythagorean Triple, and 6 feet quickly popped into my head from a 3,4,5 triangle. But the problem, if not read carefully can throw you off as to which numbers go to which sides.) Using the Pythagorean Theorem, you conclude to... 82 + 102 = x2 64 + 100 = x2 164 = x2 2 square roots of 41 = x, or approximately 12.81 feet.
Can the numbers 10 24 and 26 form the sides of a right triangle?
Yes, they are a simple multiple of the Pythagorean Triple 5-12-13
How did they usse the Pythagorean Theorem?
I'm not sure who you mean by "they"; but it's a simple theorem: A^2 + B^2 = C^2
What is the simple subject of Please explain how they were grown?
Subject: they
What is the formula for the width of a 3-D shape?
There is no single formula for the width of any arbitrary shape. If however, you already have two points that define that width, then you can calculate the distance between them with simple Pythagorean theorem: w = [Δx2 + Δy2 + Δz2]1/2
Where was the Pythagorean theorem invented?
This theorem was not invented so much as evolved. All mathematical proofs and theorems evolve from simple math to more complex math. The related Wikipedia article explores and explains the history of this theorem.In short...Pythagoras, whose dates are commonly given as 569-475 BC, used algebraic methods to construct Pythagorean triples, according to Proklos's commentary on Euclid. Proklos, however, wrote between 410 and 485 AD. According to Sir Thomas L. Heath, there was no attribution of the theorem to Pythagoras for five centuries after Pythagoras lived. However, when authors such as Plutarch and Cicero attributed the theorem to Pythagoras, they did so in a way which suggests that the attribution was widely known and undoubted.Pythagoras was Greek and lived in Greece, so it can be assumed that he completed the theorem in Greece.
Why does one replace voltage sources with a short circuit and current sources with an open circuit when using Thevenin's Theorem Long explanation please?
A: THEVENIN theorem simply is a way to simplify a complex input and resistance to a simple form. maybe you are confusing it with nodal analysis
What is the difference between distance formula and pythagorean theorem?
The Pythagorean theorem defines Euclidean distance between two points in space. If the coordinates of A are (xa, ya, za) and those of B are (xb, yb, zb) then, using the Pythagoras theorem in 3-dimensions, |AB| = sqrt[(xa - xb)2 + (ya - yb)2 + (za - zb)2] However, Euclidean distance is not the only distance metric. A simple example of a non-Euclidean metric is the metric variously known as the Taxicab, Manhattan or Minkowski metric. This is based on a grid of mutually perpendicular lines and the distance between two points A = (p, q) and B = (r, s) is (r-p) + (s-q). To go from A to B on the grid of streets and avenues in [downtown] Manhattan, the cab has to go travel (r-p) units in one direction and (s-q) in an orthogonal direction. There are many other possible metrics. So, the Pythagorean theorem is only one of many possible formulae for distance.
What is the use of thevenin's theorem?
By using Thevenin's theorem we can make a complex circuit into a simple circuit with a voltage source(Vth) in series with a resistance(Rth)
What is the proof for the equation of magnitude of vector product?
It is a simple application of Pythagoras's theorem.
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!
You can use the Pythagorean theorem to solve problems that involve right triangles Provide an example of a day-to-day situation that involves triangles and the use of the theorem?
Gardeners who wish to dig square or rectangular flowerbeds in a lawn have long used a pratical method based on Pythagoras theorum. To ensure that the flower beds have right angle corners three bamboo canes of lengths 3 feet, 4 feet and 5 feet are joined together to form a triangle. As the squares of 3 (9) and 4 (16) added together give the square of 5 (25) this is practical proof of the theory. Another simple example of a situation which could utilize the Pythagorean theorem is if you had to reach a certain part on a wall (side A) with a ladder (Side C - the hypotenuse) and you have an obstacle on the ground so your ladder has to be a certain distance away from the wall (Side A), which could be represented as Side B. If we let A=15 ft and B=5 ft, we can use the Pythagorean theorem to find that the ladder (C) would need to be about 15.8 ft long.
Does picks theorem work for all polygons?
Just for simple polygons with integral vertices.
A stair stringer is 8 feet high and extends 10 feet from the wall how long is the stair stringer?
Well this is a very simple problem if you read it correctly. Using the Pythagorean Theorem, you can solve it very quickly. The problem creates a triangle. The 8 feet forms the smallest leg, the 10 feet forms the larger leg, and the length of the stair stringer forms the hypotenuse, or in this case x. (When I first read the problem, I made the mistake of thinking of it as a Pythagorean Triple, and 6 feet quickly popped into my head from a 3,4,5 triangle. But the problem, if not read carefully can throw you off as to which numbers go to which sides.) Using the Pythagorean Theorem, you conclude to... 82 + 102 = x2 64 + 100 = x2 164 = x2 2 square roots of 41 = x, or approximately 12.81 feet.
