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!

No, it's not a right triangle because 64+36=100 not 121 (11x11)
So it's not equal.
Add Image

Solve The Missing Lenth
12cm and 5cm

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
144 + 25=c
169 =C

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

Q#1 what are the areas of the three squares.-92-(4)

Q#2 carmel want to mount a 18cmx18cm picture on a square board that is 4 times the area of the picture.

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

Before you go on, please
take the time to read how to work out
square roots and it's meaning.

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  • *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).
  • I then used a basket after using the Line of Factorization and made the basket so that each basket had an even pair.
  • 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.

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  • 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.
  • 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.
  • 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.

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  • 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.

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  • 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.

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  • 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.

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  • 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.

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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 :)



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

This link will help you understand Pythagorean Relationship even more 


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


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