### Pythagoras

Thursday, February 26, 2009
Mr.Harbeck was suppose to teach us a new unit but apparently he slipped and bumped his head on the ice and now he has amnesia. So, we have to help him out and figure out what he was going to teach us so we could recover his memory.

Mr.Harbeck said that he found these artifacts that was left in his backpack. So right now I'm going to explain what these artifacts are and this vocabulary that was left on a piece of paper and how they are linked to these artifacts. Do you know why these words are related to the artifacts? I DO ! The word legs relate to the right triangle because well you know the small square in the corner? That's the 90 degree angle. In other words its called 'A' and 'B' , which are the legs. If they can make a right triangle, they are called complimentary angles. The word hypotenuse relate to side 'C' of the right triangle. Side 'C' is the longest side of the right triangle. It is always across from the 90 degree angle. The next word R.A.T stands for Right Angle Triangle. It means that a triangle has a right angle (90 degree angle). The word Greek relates to Pythagoras. Pythagoras was a greek person that was the father of math.
The word theorem relates to a formula, a² + b² = c² or a theory that can bThe first artifact is a triangle. This triangle is a R.A.T (right angle triangle) because it has a 90 degree angle. You can tell if its a right triangle because of the square at the corner. This right triangle has two sides that are the legs, which are 'a' and 'b'. It also has two angles which are theta and beta. These angles create a complimentary angle because together they create a 90 degree angle. The longest side of the triangle which is 'c' is called the hypotenuse. The second artifact is a square. To be sure it is a square, we have to put lines on each four sides because that tells us that each side are equal and that it's a square. The four sides of the square are called lines of symmetry. This square has four right angled triangles at each corner. You can also get two right triangles from one square because if you cut the square in half, you get two right angled triangles. The whole square equals to 360 degrees (4 x 90 = 360).  The third artifact is the Pythagorean Theorem. This is a formula that is related to 'a', 'b' and 'c'. In other words the 3 sides of the right triangle. Pythagoras was the one who came up with the theorem. This is a picture how we use the Pythagorean Theorem. Here is a square that is 3x3, another square that is 4x4 and another one that is 5x5. The 5x5 square is the one that was made from both 3x3 and 4x4 squares. The 5x5 square which has a square in it is the 4x4 square and the squares outside of it is the 3x3 square. So, the pythagorean theorem works because 3x3=9, 4x4=16, 5x5=25 and 9+16=25. The last artifact is a picture of Pythagoras. He was greek and a very intelligent mathematician. Pythagoras was known has the father of math. He was the one who created the Pythagorean Theorem, a² + b² = c². Pythagoras is a vegan (vegetarian), a person that doesn't eat a live things. He was the one who discovered the circumstanes-cosmos of the earth and that the sun goes around the earth. He was into harmonics which meant that he loved music. Pythagoras thought that he could make a square into four triangles and that he could make a triangle out of 3 squares.

Video#1:

Video#2:

Video#3:

In this problem that Mr.Harbeck gave us, we had to find the base of the triangle. This picture explains how I solved 'c'.

Problem#2:  First, you need to find out how long each side of the square is. Then that will give you side "A" and "B" for the triangles since they're both the same length. Okay so, like a normal question find the length of the hypotenuse, which is 'c'. Once you have gott that you can now label the triangle and add up all the sides to find the perimeter.

1. gelli 8-41 said... This comment has been removed by the author.

February 26, 2009 at 8:07 PM

2. Dean 8-41 said...

FIRST ! (:
good job gelli (y)
i liked the way you changed the pictures to show us how you did it!
good job explaining the things, you did a terrific job !
bye bye (: and good job again LOL

February 26, 2009 at 11:50 PM

3. gelli 8-41 said...

DEAN ! (: Haha, thank you! (: I bet you did a better job on your post, as always. (; Okay well, thanks again (: Good Job to you too ! HAHA !

February 26, 2009 at 11:54 PM

4. kuung 841 said...

GELLBALLZZZ! :) LOL. Good job! I liked how you color coordinated everything and how everything was so neat and organized. Good job!

March 18, 2009 at 6:13 PM