Pythagorean Theorum

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To start our assignment we watched videos on Pythagoras and the Pythagorean Theorum. Then we took notes.







Pythagoras was born in the year 569 b.c. in Greece. He was known as the father of mathematics. He also was the first vegan, today called a vegetation. Pythagoras knew alot about the earth such as that the earth titled on its axis, and the seasons were due to that. He also became fluent in egyptian Hieroglyphics, along with beliving in rebirth, after death something the egyptians belived in. Pythagoras along with all that prooved the Pythagorean Theorum, which is still used today , a(squared) + b(squared) = c ( squared). A very smart man.



These artifacts are related by: The Triangle has 1- 90 degree angle along with 2 acute angles. The triangle has 180 degrees total.


The square has 4- 90 degree angles and no other angles, the square has 360 degrees total. Therefore 4 triangles makes a square because 4- 90 degree angles makes 360 degrees, which makes a square. 90+90+90+90= 360 degrees. This is the Pythagorean Theorum.


This all is related to Pythagoras ( the man in the picture above) because he is the one who did not invent the theorum but made proof that it was true. The Equation is the Pythagorean theorum. Which he proved.




Vocabulary

Legs- Legs are the two shortest sides on the triangle sides a and b. The legs also make up the 90 degrees
Hypotenuse-Is the longest side of a triangle , side c.
R.A.T- R.A.T is the triangle it stands for Right Angled Triangle, any triangle with 90 degrees
Greek-A person of greek origin. Pythagoras was greek.
Theorum-Theorum is the second word of the Pythagoraean Theorum which was proven by Pythagoras.



The shapes are a triangle, and a square. The triangle is half the square. The triangle has 2 legs side a and b, and a hypotenuse side c. The square has 4 equal sides, and 4 , 90 degree angles. The formula a(squared) + b(squared)= c(squared). We care in grade 8 because we use the formula , and pythagoras made proof of it.



Word Problem:

Find the Perimeter of the orange triangle.





First I found the square root of 914cm so i would know the side lengths of the square.


















There is the formula ----->


Sorry if it's small i couldn't make it any bigger.


Second Word Problem

The first thing i did was draw a square and find out the side lengths










Then here is the formula i did to find out the hypotenuse side c.





















Then here is our first video explaining how you get side c.






pythagoras proof 1 from Louie Angela on Vimeo.


Here is our second video on finding side a.






pythagoras proof 2 from Louie Angela on Vimeo.



Hopefully this adds to what you already know about Pythagoras, and the Pythagorean Theorum. Sorry if theres any mistakes , and please leave a comment.

shaneille 9-05

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1 Response to "Pythagorean Theorum"

bea873 said :
February 28, 2009 at 3:31 PM
nice! Shaneille nice images but the some of your pictures was small but you explained your work well and nice video,good job!

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