Pythagorean system is
H^2 = a^2 + b^2
In geometry , when knowing the two sides of a right-angled triangle the third side can be calculated.
So if you know the two shorter sides , say a = 3 & b = 4 , then the third hypotenuse can be calculated.
e.g.
H^2 = 3^2 + 4^2
H^2 = 9 + 16
H^2 = 25
H = sqrt(25) = 5
This is the Classic (3,4,5)Pythagorean triangle . Another one is 5,12,13.
Now if you know the hypotenuse and only one of the shorter sides then the other short side can be calculated.
Hence
H^2 = a^2 + b^2
Then
b^2 = H^2 - a^2
Here factoring algebra comes into play.
b^2 = (H - a)(H + a) Note the different signs.
So if we know the hypotenuse , say 13 and the shortest side , say 5.
Then substituting in
b^2 = (13 - 5)(13 + 5)
b^2 = (8)*(18)
b^2 = 144
b = sqrt(144) = 12
So there you have it, a bit of geometry and a bit of algebra. Hope that helps!!!!
It's from Arabic. For more information, use the link provided to the Wikipedia article on algebra.
It states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
You'd probably want to get him/her a tutor and/or find some sites on the Internet for him/her to practice with. Try attached link.
You can post your individual math problems on WikiAnswers, but you cannot ask for answer keys for specific educational programs. See related link.
Definition:Pythagorean theorem (also known as Pythagoras' theorem) is a mathematical statement about the relation among the three sides of a right triangle (right-angled triangle).It states:"In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."In any right-angled triangle, if the sides forming the right-angle are known as a and b and the hypotenuse as c, then the relation among the three sides of a right triangle is given by this equation: a2 + b2 = c2.When to use it:If the length of two sides of a right angled triangle are already known, you can find the unknown length of the third side.How to use it:As you know the relation among the three sides of a right triangle is represented by the equation a2 + b2 = c2 , substitute the known values in the equation and find out the length of the third side by solving the equation.See the related link.
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.
Hmmm... because HE created it ! Pythagorean theorem is named after the mathematician Pythagoras ! See related link for the Wikipedia article on the gentleman concerned !
James A. Garfield, the twentieth president of the United States, discovered an original proof of the Pythagorean theorem. The proof is algebraic in nature and uses the formula for the area of a trapezoid. See the link below for details. Garfield is credited with an original proof of this famous theorem. Many of the presidents undoubtedly proved it in geometry class after studying their books.
It is understood to be found in Ancient Greece. See the link below...
It is not known for sure where exactly Pythagorean Theorem was discovered. But Pythagoras a Greek Mathematicians has discovered this. So I would assume in Ancient Greece. I found this related website which explains and also has a calculator.See below for the related link
There are a great number of different proofs of the Pythagorean Theorem. Unfortunately, many of them require diagrams which are hard to reproduce here. Check out the link to Wikipedia's page on the theorem for several different proofs.
I don't think I could make the proof clear without a diagram, so you must check the related links to read it. I will say that it is algebraic in nature and is based on knowing how to find the area of a trapezoid. The first link is a student link and may not stay up for long. The second link contains several proofs of the Pythagorean theorem and you will have to hunt in it to find Garfield's proof, but it is there.
Pythagorean theorem a2 + b2 = c2 You have to know at least two of the sides See the below link http://en.wikipedia.org/wiki/Pythagorean_theorem
you must have at least 2 given sides or a given angle you can use the pythagorean theorem formula c² = a² + b² try the link below for a computation
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. = If it's an oblique triangle, use the law of sines or cosines (see related link)
you can use pythagorean theorem formula:c² = a² + b²you must have the values of the opposite side and adjacent side.you may try below link for easy calculation
I will give a link that explains and proves the theorem.