## Tuesday, February 14, 2012

### Angelika's Pythagorean Relationship Post

Explain The Pythagorean Relationship
1) Can be used to determine the lenth of a hypotenuse of the right triangle when two lents of the two legs are known.
2) The sum of the areas of squares attached to the legs of a right triangle equals the area of the square attached to the hypotenuse.
3) It's also the relationship between the lenths of a right triangle.

Is This A Right Triangle? Prove It!
a2+b2=c2

64+36=100
(8x8)
(6x6)(10x10)
No, it's not a right triangle because 64+36=100 not 121 (11x11)
So it's not equal.

Solve The Missing Lenth
12cm and 5cm
a2+b2=c2
12cm+5cm=17cm
c+17cm

### philips pythagorean post

1.The Pythagorean relation ship is the relation ship between the sides of the triangle

2. a + b = c the side length of the triangle
12+5= c
(12x12)+(5x5)=c
144 + 25=c
169 =C
13=c

3.a + b = c no the triangle isn't a right one.
8 + 6 = 11
(8x8)+(6x6)=(11x11)
64 + 36 = 121
100 = 121 nope

Q#1 what are the areas of the three squares.-92-(4)
a-30x30=9004
b-40x40=1600
c-50x50=2500

Q#2 carmel want to mount a 18cmx18cm picture on a square board that is 4 times the area of the picture.
a-324
b-1296
c-?

Q#3 the hypotenuse of the triangle cuts the circle in half.
what is the diameter of the circle. Express your answer to the nearest tenth of a centimeter.
a + b =c
7 +5 =c
7x7+ 5x5 =c
49 + 25 = c
74 =c
8.6 =c

### Scribe 1: 2, 8, 15 a, 16 a, 17, 20

take the time to read how to work out
square roots and it's meaning.

- ----------------------------------------- -

Solution:
• *The square of a number can be thought as the area of a square.
• This is one way of finding the factors of 225 because you can also have it 15 x 15.
• I chose to do 9 x 25.
• I found the Prime Factors of 9 which was 3 multiplied by itself.
• For 25, the Prime Factors were 5 multiplied by itself.. (5 x 5=15).
• 3 x 5 = 15, so 15 x 15 = 225!
• I then showed how it would look like using a square and it's sides.
• The square root of 225 = 15, which also equals the square root of 15 squared = 15.

- ---------------------------------------------- -

Solution:

A.)
• I know that to make 144, you can square the number 7 by itself to get your answer.
• The square of a whole number is a perfect square because if you used 1 block for every unit in the square and had groups of 7 by 7, the length and the area of the square would be the same.
• I found the Prime Factors of 12 which is 6 and 2. (6 x 2 = 12)
• Then I found the Prime Factors go 6 and got 3 and 2. (3 x 2)
• I boxed in the Line of Prime Factorization and then made a basket using those numbers just to get a clearer understanding.
• This resulted into a perfect square.
B.)
• Since there is no number that can be multiplied by itself to get 60, I divided 60 to get 30.
• The Prime Factors of 60 would be 30 and 2.
• I knew that 3 x 10 would equal 30, and that would be a Prime Factor for that.
• Finally, I took the number 10 and divided it again to get 5 x 2.
• The Line of Factorization did not all have even sets of numbers if you would put it in a basket, therefore it is not a perfect square.
D.)
• Again, I know that there is no square number to make 40, so I just used the prime numbers 5 and 6. (5 x 6= 40)
• Then I knew that 3 x 2 would make 6.
• The Line of Factorization would be 5 x 3 x 2, which means you can't basket the numbers evenly.
• 40 is not a perfect square.

- ------------------------------------------- -

Solution:
• For 15 a), since I knew that 7 x 7 would equal 49, I used that as my Prime Factor.
• Notice that 7 x 7 makes a Perfect Square.
• In the second example I showed how I got the area, which is just side x side.
• When you prime factor a square you can find either side lengths or square roots.
• the square root of 49 = 7, which also equals to the square root of 7 squared, which is also 7.

- --------------------------------------------------- -

Solution:
• For 16 a), I just found the Prime Factor for the number 9 which is 3 and 3.
• When you multiply 3 by itself, it makes a Perfect Square and equals 9.
• Next I just showed how it would look like in pictures.
• You multiply the sides to get your area.
• The square of a number can be thought as the area of a square, which in this case is 3.
• The square root of 9 = 3, which can also equal to the square root of 3 squared = 3.

- ------------------------------------------- -

Solution:
• For this question, I know that there are no square numbers that can equal 54.
• Note: A square of the number is the number multiplied by itself.
• For my explanation picture, instead of a square number, I just divided 54 to get 27.
• 27 x 2 = 57
• From then on I started looking at it's Prime Factors.
• Finally, I used the line of factorization.
• *If you square root the number 57 on the calculator, it will give you an answer of 7.348469228.

- ---------------------------------------------------- -

Solution:
• For a), what I did was multiply the numbers on the side (9 x 4 = 36) because I know that sxs= area. The answer would be 36m2.
• For b), I first used my calculator to find out what the square root of 36 was. I got the answer 6, so for that, I know that 6 x 6 makes a perfect square and equals to 36.
• The boxed numbers are the Line of Prime Factorization.
• I also used a basket after to help make it more understandable.

- ---------------------------------------- -

Here is a helpful video for a better understanding:

*Sorry if the video is confusing at the end!
Here is a game you might want to play in Mangahigh that is really fun ;)

THANKS FOR GIVING YOUR TIME AND EFFORT INTO READING THIS! Help me out if I have made any mistakes :)

--------------------------------------------------------------------------------------------------------

PYTHAGOREAN RELATIONSHIP

### Liam's Pythagorean Post

1. Pythagorean relationship is when one number gets doubled and added to get a total value on a triangle.
2. Pythagorean relationships means a total value.
3. an example of Pythagorean is 2+4=6
4. the Pythagorean means a value of an triangle

## Monday, February 13, 2012

### Lance's Texbook Scribe Post (4,10,15) Pythagorean

4) Estimate the square root of each number, to one decimal. Check with a calculator.
a) 72 b) 103 c) 55

10. Kai uses an entire can of paint on a square backdrop for the school play. The label on the can states that one can cover 27 m² of wall surface. Estimate the backdrop's side length, to one decimal place.
.
5x5=25 and 6x6=36 so it should be between the numbers 5 and 6.
5.2x5.2=27.04 then it move it up into one decimal place which is 5.3

15. Order the following numbers from least to greatest: 7, square root of 46, 5.8, square root of 27, and 6.3.
5.1, 5.8, 6.3, 6.7, 7

1) Answer in a short paragraph with diagrams

2. Solve for the missing side length.

3. Is this a right triangle? Prove it!!!

 This is not a right triangle because 100 cm does not equal 121 cm

http://staff.argyll.epsb.ca/jreed/math8/strand3/3201.htm

### Camille's Pythagorean Relationship's Post.

1.)Answer in a short paragraph and with diagrams.

2.) Solve for the missing side length.

The missing side length is 13cm.

It is not a right triangle because 10 does not equal to 11.

## Friday, February 10, 2012

### Liam's pythgoras

C=A+B
C=12+5
12*5=60
c=7sq
C=7

to get the answer u will need to square root the number if the number is 60 it will be 7.