Pythagoras Post

Wednesday, February 25, 2009
This is Pythagoras :


Pythagoras is a greek mathematician. A teacher and a philosopher.
Pythagoras is one of the first important mathematician.

Pythagorean theorem :





Right triangle:

A right triangle has a 90 degree angle.
The leg a and b makes up that 90 degree angle.
From the 90 degree across, is where the long side is, the hypotenuse.
The theta and beta corners has to equal to a 90 degree to make a right triangle.


Square:

All sides of a square is the same. All the corners are 90 degrees.
When you split a square in half, it make 2 right triangles.

4= 90 degrees angles quadrilateral internal angles = 360 degrees.

Two angles that equals to 90 degrees are called Complementary. Angles that makes a straight line equals 180 degrees. And two angles are called Supplementary.

Were looking for the " a ". We know that " b " is 8 mm, and " c " is 10 mm.
So what i did is minus " b " to " c " and then I solved the exponents.
The when I got the exponents gone, I subtracted the answer of " c to b "
To get rid of the " a's " exponents you have to square root.
And what you do to the one side you do to the other side too .
So I square root the 36 and the " a " and got.. " a " = 6mm.
But were actually looking for two " a " because theres two triangles.
So you just added two " b's " which is " 6+6 " and got 12mm . " a = 12mm "











were trying to figure out what the diagonal is. So, i divided the square in half. and try to figure out what the long side. So we know that " a and b " is equals to 3 mm. So what i did is simplify " a and b exponents ". Then just add them together. And then, we square root to get the answer.





In this one, were trying to figure out the diagonal of the bigger square. I did the same thing as the first one. But instead of the " a and b " equals 3. In this one, " a and b " equals to 8mm.

Video:



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