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Saturday, November 26, 2011

Pythagorean Theorem


Introduction
    If you are in highschool, you probably have heard of the Pythagorean Theorem. If you are in Elementary School, like me, you also might have heard of it, but was is it. Pythagoras (570-495 BC) was a mathematician, a (Ionian) Greek Philosopher, and founder of Pythogeranism, who changed mathematics forever.
 Equation
 His equation was you can figure out one side of a right-triangle with knowing the other two sides of the right-triangle.
a^2 + b^2 = c^2\!\,

   If we said a was the base was a, b adjacent to a, and c the hypotenuse (the long side). If you squared a and added that to b squared you would get c squared.

(sqrt.= square root)
   Giving that you would simplify that to this
c=√(a^2+b^2)
And if you wanted to figure out a you would write
a=√(c^2-b^2)
To figure out b you right
b=√(c^2-a^2)
This theorem contains more than 370 proofs inside of the book The Pythagorean Proposition. If you didn't already know this I hope you remember this, you will always need to know it.
You Try
Problem:
If I had a triangle that a was 4 in. and b was 8 in. what is the measure of c? Post your 
answer in the comments. 
                                                                                                                                                                                                                                                           






                                                                                                                                            
                                                                                                                                                                                                   

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