873 Math Blog

Pythagoras

Mr.H gave us homework about pythagoras, a greek mathematician guy. He was also the first vegeterian he thought thet the animals were his friends so he didn't eat meat. He also figured out that the earth was a sphere.

This is the pythagoras theorem.

a2+b2=c2













This is called right angle triangle.













This is called hypotenuse. Hypotenuse stand for letter C it's on the largest side of the triangle.











This is the man who built the pythagoras.

















This is the one you can make formula(a2+b2=c2).

Pythagoras

Pythagoras was a Greek mathematician. He was the first vegetarian. He proved
the Pythagorean Theorem. He is known as "the father of numbers".




This triangle is Right Angled or R.A.T. The letter "A and B" are called legs.
And the letter "C" is called Hypotenuse.




This Square is quadrilaterals. All side of square are equals 90 degrees.



I showing you 2 example of theorem.
Here is the first example of Pythagoras Theorem.



a^2+b^2=c^2
a^2+8^2=10^2
-8^2 -8^2
a^2=10^2-8^2
a^2=100-64
a^2=36
a=6
a+a=|----|
6+6=12mm


Here is the second example of Pythagoras Theorem.






a=225cm
a=225
a=16
length and width is 15.
The perimeter of the central square is 60.
Means A and B is equal to 15.
a^2+b^2=c^2
15^2+15^2=c^2
(15x15)+(15x15)=c^2
225+225=c^2
450=c^2
21.21=c^2
P=21.21+15+15
P=51.21
Perimeter of each triangle is 51.21

P=60+51.21(4)
P=60+204.84
P=264.84
The perimeter of board is 264.84.

Mr.Harbeck tech us a new Math, it's called Pythagorean Theorem.A Greek guy learned it i

thing, anyway i will tech you how to do this.
This is the first one ill teach you. This one is called Right Angle Triangle, and it has leg on it

not like human leg,anyway the other words called (A/B). And it is 90 degrees.




Greek who builds Pythagoras i think. Pythagoras was a Greek person that was the father of

math, who build math.

The formula or this is a² + b² = c².



leo and the boys



leo and the boys pt2

Alwin T.

In two weeks we learned about the pythagoras theory. Now i will show you what i have learned so far.



This is a right triangle or R.A.T (right angled triangle). The longest part of the triangle is called the hypotenuse (hypotenuse = c). The legs are what create the 90 degree angle. The letters used for the legs are a and b, and it doesn't matter which line you put a or b on. The square at the corner of the right triangle tells you that it's a 90 degree angle. The sign that looks like a circle with a line through it is called theta and the the sign that looks like the letter b is called beta.





This is a square. Squares a quadrilaterals. You can tell that the the square's side are all equal because of the line on each side of the squares. Again, the squares at the corners tell you that it's at a 90 degree angle. The internal angle of the square is 360 degrees (90 x 4 = 360).







This is the formula for the Pythagorean Theorem. Pythagoras was able to prove this formula using the right triangle, and the squares.






This mystery man is named Pythagoras. He was a Greek teacher and philosopher. Pythagoras calculated the circumference of the earth and realized that the earth is a sphere. He is also a vegetarian. Pythagoras discovered the Pythagorean Theorem (a² + b² = c²). Picture taken from Mr. Harbeck's blog post.

























In this problem, we have to find out what the letter b is. We know that a = 8, and c = 10. So this is how it starts :

a² + b² = c²
8² + b² = 10²

Now, to isolate b², we add negative 8² to both sides:

8² -8² + b² = 10² - 8²
b² = (10x10) - (8x8)
b² = 100 - 64
b² = 36

Then, to isolate the b, we square root. We do the same thing to the 36 :





b = 6

But we're not done yet! Since there are 2 triangles in one, we're figuring out the b for both of them. So:

b + b
6 + 6 = 12

So the b for the whole triangle is 12 mm!

Problem 2

A checkerboard is made of 64 small squares that each have a dimension of 3 cm x 3 cm. The 64 small squares are arranged in eight rows of eight.

A) What is the length of the diagonal of a small square? Giver your answer to the nearest tenth of centimetre.












In this problem, we have to find out what the letter c is. We know that a = 3, and c = 3. So this is how it starts :

a² + b² = c²
3² + 3² = c²

Then we'll make it look easier by doing this:

(3 x 3) + (3 x 3) = c²

Then we solve it:

9 + 9 = c²
18 = c²




4.2 cm = c

B) What is the length of the diagonal of the board? Give your answer to the nearest centimetre.














In this problem, we have to find out what the letter c is. We know that a = 8, and b = 8. So this is how it starts :

a² + b² = c²
8² + 8² = c²


Then we'll make it look easier by doing this:

(8 x 8) + (8 x 8) = c²

Then we solve it:
64 + 64 = c²
128 = c²




11.3 = c

PYTHAGOREAN THEOREM

The Pythagorean Theorem is Pythagoras' most famous mathematical contribution. According to legend, Pythagoras was so happy when he discovered the theorem that he offered a sacrifice of oxen. The later discovery that the square root of 2 is irrational and therefore, cannot be expressed as a ratio of two integers, greatly troubled Pythagoras and his followers. They were devout in their belief that any two lengths were integral multiples of some unit length. Many attempts were made to suppress the knowledge that the square root of 2 is irrational. It is even said that the man who divulged the secret was drowned at sea.

What is a Pythagorean Theorem?
The Pythagorean Theorem is the sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).


The legs are the two sides that makes the right angle.
The hypotenuse is the longest side of a right triangle.
RAT stands for Right Angle Triangle.
Pythagoras is greek.


The Thereom is A squared plus B squared equals C squared.
I think Mr Harbeck taught us the Pythagorean Thereom because we might use this in real life like architecture, building houses and other buildings. You can also be a teacher.

Here are some of the work :




There are three important sides of a triangle.
A triangle is a geometric figure consisting of three points or vertices which are connected with straight line segments called sides. When one of the angles of a triangle is a right angle, we call that a right triangle, as shown in this figure:

What is a relationship?
the relationship between the three sides of a right triangle (that is, between a, b, and c in the previous figure), let's look at an example of a relationship. In this example we will be calculating the perimeter or distance around the following rectangle:The perimeter or which you can call "P", you need to add the lengths of the four sides or a + b + a + b. It can also be expressed like this (p = 2a + 2b).

MEASURES OF CENTRAL TENDENCY

Here is an example of a work that I did in class for MCT.

What are the range of the times?
What are the mean and median times?
Identify any possible outliers. Should the outlier(s) be removed from the data set?
Explain why or why not.













The Outlier would be 40.4 because its the biggest number out of all the numbers.

PROBABILITY

Here is an example of a work that I did in class for probability.

Billy is planning her summer vacation.
-She can go to Regina, Calgary, or Vancouver
-She can travel by bus, train, or plane
-She can stay with a friend or in a hotel





<-- The 1/8 is suppose to be 1/18. My bad









EQUATIONS

Here are some Pythagorean Thereom I did in class.

#1



















#2



















#3




















ATTENTION!

If you want to watch Kara and I's Pythagorean Thereom movie, please follow this link: http://spmath87308.blogspot.com/2009/02/pythagorean-theorem_24.html
(...it wouldn't let me upload the video to my post...)