Well, to put it simply, the Pythagorean theorem is an equation to find the measurement of a side of a triangle.Algebra is basically equations, and geometry is the study and measurement of shapes. The equation is a+b=c.
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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.