### Pythagorean Theorem

6:38 PM

Pythagorean Theorem or Pythagoras Theory

(question)How can we use the vocabulary to help explain the artifacts?

(answer)To define all the terms in this theorem

The vocabulary words :
Legs-the legs is the letter's a and b.This legs are in the or the short side beside the R.A.T.

Hypotenuse-the hypotenuse was the letter c which is the longest side of the triangle.

R.A.T- R.A.T means the right angle of the triangle. The R.A.T and the hypotenuse were opposite so when you turn the triangle in whatever side you want you will get or you will know where the hypotenuse are.
This square show you the right angle the square had a 4 90 degree angle so the square is 360 degree angle because the side of the square is 4 each side is 90 degree so 4 times to 90 degree is 30 degree.

Greek-Pythagoras the inventor of the Pythagorean theorem or he invented the Pythagoras theory.

Theorem- To prove how to figure out what they were doing.

In Pythagoras Theory there is a sum of the squares of legs(two legs) that is the letters a and b of the right triangle equals the square of the hypotenuse which is the letter c.

The formula is:

When we let the letter c will be the length of the hypotenuse while the letter's a and b will be the length of the other two sides the Pythagoras theorem can be expressed like these equation:

When the letter c was already given and the one of the other legs should be found,in the following equations we can used the following equations are the converse on the other original equation

The mystery man's name is Pythagoras he was born between 580 and572 BC and he died between 500 and 490 BC was an Ionian Greek Mathematician and founder of the religious movement called Pythagoreanism He is often revered as a great mathematician, mystic and scientist; however some have questioned the scope of his contributions to mathematics and natural philosophy.

Pythagoras was best known for the Pythagorean Theorem, which is bears his name. He was also known as the father of numbers, he made some the influential contributions to philosophy and the religious teaching in the late 6th century BC.

Here are some image to show the 1st proof and the second proof to prove that the invention of Pythagoras was right.

proof#1

And in this one the 2nd proof

In this picture it only shows that when you combine the a square and the b square you always had a c square.

While in this image I show you the word problem#1

And now I want to show you how to do the homework that Mr. Harbeck want us to do and I will explain very well I will try my best.
we had to know what was the perimeter in every side first

a square is equal to s square because the square had the cm at this time so we had to find the side of the four triangle so 225=s square then 225=s square and 15=s or s=15
the sides of the square are equal to legs of b
s=a=b so a=15 and b=15 then we had to find the c or the c is equal to? and we had to show the formula a2+b2=c2 so (15)2+(15)2=c2 or 15 square +15 square=c square or (15*15)+(15*15)=c square then we answer the 15*15+15*15 is equal to 225+225=c then we add 225+225 is 450=c square so we had to find the square root of 450 which is 21.21=C or C=21.21 then perimeter is equal to (15+21.21)+(15+21.21)+(15+21.21)+(15+21.21) then the perimeter is 144.84 0r P=144.84 or P=4(15)+4(21.21)
P=60+84.84
P=144.84

Here are the videos that we did in our math class watch I hope you enjoy and I hope you learn something what we did thank you: