Pythagorean Theorem
For our assignment we had to explain the Pythagorean Theorem, which was proven by Pythagoras.
Pythagoras was born in the year 569 BC in Greece. He was the first person to be a vegan, or what we call a vegetarian. He was known of being the father of mathematics, geometry, music, and much much more. Pythagoras was the first westerner to determine that the earth was round. He also found out that seasons were caused by the earths axis tilting. His most famous discovery was the Pythagorean theorem, which is a^(2)+ b^(2)= c^(2). Basically he knows mostly everything.
Artifacts:
This is an right angle triangle. It has one right angle that is 90 degrees and two other angles( theta, and beta). The other angles are labeled a and b. The longest side in the triangle is labeled c. All together the right angle triangle is 180 degrees, and is half of a 360 degree square
The square is a quadrilateral shape. It has four right angles, which are all 90 degrees. Total of 306 degrees. Which means that two right angle triangles together make a square, which is proven in the Pythagoras theorem
The theorem a^{2} + b^{2}= c^{2}. It can be used in any right riangle. He found out that the sum of the aure on the two legs are equal to the square on the hypotenuse.
Vocabulary:
legs- The sides of a right triangle, that are not the hypotenuse. That form a 90 degree angle. Which are labeled on a triangle A and B.
hypotenuse- The longest side of a right triangle. Which is labeled side C.
R.A.T- Right angle triangle.
Greek- A person who is from Greece or the language of Greece.
theorem- A mathematical statement, or formula embodying something to be proved from other propositions or formulas.
Now I'm going to show you how to solve some word problems using the Pythagorean Theorem.
Her is the formula I used to answer this question:
For my second word problem, I'm going to find C.
Then I made a square and to find out the side lengths .
Now, here is my formula:
1 scale or 1cm= 2mm
b=10+2=12
a^2 + b^2 = C^2
10^2 + 12^2 = C^2
( 10 x 10) + ( 12 x 12) = C^2
100 + 144 + C^2
244= C^2
No find the square root.
15.620 = C
Finally her is our video explaining how to find C:
pythagoras proof 1 from Louie Angela on Vimeo.
Now here our second video, on how to find A:
pythagoras proof 2 from Louie Angela on Vimeo.
So I hope you learned something from my post. I think this is important to grade 8 students to learn about the Pythagorean theorem, because we constantly use it in math and probably in following years. So it's good to learn now!
Pythagoras was born in the year 569 BC in Greece. He was the first person to be a vegan, or what we call a vegetarian. He was known of being the father of mathematics, geometry, music, and much much more. Pythagoras was the first westerner to determine that the earth was round. He also found out that seasons were caused by the earths axis tilting. His most famous discovery was the Pythagorean theorem, which is a^(2)+ b^(2)= c^(2). Basically he knows mostly everything.
Artifacts:
This is an right angle triangle. It has one right angle that is 90 degrees and two other angles( theta, and beta). The other angles are labeled a and b. The longest side in the triangle is labeled c. All together the right angle triangle is 180 degrees, and is half of a 360 degree square
The square is a quadrilateral shape. It has four right angles, which are all 90 degrees. Total of 306 degrees. Which means that two right angle triangles together make a square, which is proven in the Pythagoras theorem
The theorem a^{2} + b^{2}= c^{2}. It can be used in any right riangle. He found out that the sum of the aure on the two legs are equal to the square on the hypotenuse.
Vocabulary:
legs- The sides of a right triangle, that are not the hypotenuse. That form a 90 degree angle. Which are labeled on a triangle A and B.
hypotenuse- The longest side of a right triangle. Which is labeled side C.
R.A.T- Right angle triangle.
Greek- A person who is from Greece or the language of Greece.
theorem- A mathematical statement, or formula embodying something to be proved from other propositions or formulas.
Now I'm going to show you how to solve some word problems using the Pythagorean Theorem.
Her is the formula I used to answer this question:
For my second word problem, I'm going to find C.
Then I made a square and to find out the side lengths .
Now, here is my formula:
1 scale or 1cm= 2mm
b=10+2=12
a^2 + b^2 = C^2
10^2 + 12^2 = C^2
( 10 x 10) + ( 12 x 12) = C^2
100 + 144 + C^2
244= C^2
No find the square root.
15.620 = C
Finally her is our video explaining how to find C:
pythagoras proof 1 from Louie Angela on Vimeo.
Now here our second video, on how to find A:
pythagoras proof 2 from Louie Angela on Vimeo.
So I hope you learned something from my post. I think this is important to grade 8 students to learn about the Pythagorean theorem, because we constantly use it in math and probably in following years. So it's good to learn now!
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