The Pythagroean Theorem

7:28 PM

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In this post, I will be telling you about the Pythagorean Theorem. We were supposed to talk about the following things:

1- Vocabulary

legs - these are either side of the right triange that is not the hypotenuse. These sides also make up the right angle of the triangle

hypotenuse- this is the longest side of the right triangle and is the side opposite the right angle.

Greek- a person from or the language of Greece.

theorem- a mathematical statement whose truth can be proved on the basis of a given set of axioms(a self evident truth that requires no proof) or assumptions.


2- The pictures

The link between the pictures is that they all have something to do with the Pythagorean theorem.


The picture of the man is Pythagoreas himself. He is the one who came up with this theorem. He was a Greek mathematition who loved numbers and was a veagan. He belived that when you die, you were re-incarnated into an animal. Pythagoreas knew alot about the earth, like how it's a sphere, and is tilted and that is why we have seasons.






This is his theorem. It is used when you want to know what a side is of a right triangle. It states that a squared, plus b squared, equals c squared or in expanded form, (a*a)+ (b*b)= (c*c). It also states that the square on the hypotenuse is equal to the sums of the squares on the legs. It shows the relationship of the 3 squares. The c square is made up of the a square and the b square. Here is a picture to better explain this:



Right Angle Triangle:

Square:

  • Half of a square is a triangle

The formula for finding side C (the hypotenuse) is:


1. The formula.

2. Replace the letters with what you know.

3. Write the expanded notation so you won't get confused.

4. Simplify

5. Find the square root of your answer and c squared.

6. The answer.



Formula for finding A or B:


1. The formula

2. Replace letters with your data.

3. Write the expanded notation so you won't get
confused.

4. Simplify

5. Find the square root of your answer and A/B
6. The answer.

Problem 1


a.



b.
If you're wondering how I got 24, it's because each square has a length of 3 and there are 8 squares on each side so 8x3 = 24.


Problem 2



This is our video explaining how you get c.

Sorry for my mess ups.




pythagoras proof 1 from Louie Angela on Vimeo.


This is our video explaining how you get a. Sorry for the mistakes. We tried our best :)







pythagoras proof 2 from Louie Angela on Vimeo.


Sorry for the noise(not our fault) but I really hope that helped anyway.

Now comes the end of my post. I hope it was ok. Please comment(you'll be a good person) and tell me if there are any mistakes. Thank you!

explorer9-05

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1 Response to "The Pythagroean Theorem"

bea873 said :
March 1, 2009 at 6:01 PM
good! Kristin nice work I understand the Pythagorean theorem more! because you explained your work well and your work was very organized!,good job!

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