My epic blog post (filling in for Robbie)

Hello everyone its David, I'm filling in for Robbie. I hope thats okay.


Anyways today we learned about the pythagorean theorem and how there are many ways to prove it...

Here are the three ways we learned in class

The first way is...................

Start with a triangle

The area of one such triangle is of course 1/2ab (1/2Base x Height)
The area of four triangles identical to the original is 2ab (1/2ab x 4)
Now imagine it like this

The area of the large square is
The area of the small square is
so 
That simplifies to   or the pythagorean theorem

The next way to prove it is to start with another triangle

The area is still the same
Now picture this

The area of the large square is
And the area of the smaller square is 
 So you can set up the equation
Which again makes

*BONUS PROOF*

area of the green square is
area of the blue square is
area of the red square is So area of green square + area of blue square = area of red square




OR

 I lost the game :(
(Shane this is where you yell "I lost the game!")




David Mahoney