Tuesday, December 05, 2006

Squares and tilted squares.

Please post a comment that explains two ways to find c. Make sure to to explain why both ways work.

4 comments:

Will Pelletier said...

one way to find the length of "c" is to...
1.)first make a square around the shape then connect the dotss into sqaures,
2.)count all of the squares including the ones on the corners of the square. once all of the squares have been counted,
3.)subtract the total area that is in the triangles and you should get half of the number that you got for the total.
4.)Finally you take the square root of the number that you got in step 3

Another way is to use the pathgoreans therom...

1.) divide the square that you drew around the shape into 4ths
2.)take a corner of the shape and name it c
3.) use the corner beside c and below or above c and name them a and b
4.) multiply a by itself and b by itself
5.) and them together to get c

These steps are easy to use because the pothagoreans therom you have used before and is much easier becuse you don't have to beat around the bush. The other on is longer and a little unfamilier so that is why i use the pothagoreans therom because it is more familier and it takes less time

Kayla G. said...

To find the the what c equals in number 1.You have to draw a larger box outside of your diamond and then you can start your procedures. You have to count the dots on the top of your larger square and then multiply the number you get by its self. After that you count the number of dots of the top line you count the dots in the small triangle but only count one side multiply it by its self and then divide it to get the area of that triangle. Then you have to multilpy it by 4 or add up all the small triangles. Know you take the number you got for the area of the large square and subtract that by what you got for you triangles and that gives you your square route (ex: 16-8=8 16 is the area of the square and 8 is the sum of the triangles. this gives you 8 which equals c= square route of 8)

for number 2 you you have to draw a square around your diamond then start your procedures. To make it easier I counted the number of dots on each leg of the right triangle and then recreated them on dot paper. Then i used the Pythagorean Theorem to find the hypotenuse of c. When i recreated the right triangle i then drew a 4 by 4 box on the bottom leg of the triangle. And repeated it on the right side of triangle then i used the equation to find c (A2+B2 =C2). for example (4^2+4^2=c^2) 16+16=32 and then you have the square route of 32 which equals c.

Brandon Rowe said...

1.
A. Find area of the whole square by LXW=A.
B. Find area of the 4 triangles by taking the 2 lines and "X" "*" "times - multiple" it by 2 which is 4 then "/" "divide" it by 2 and you get 2 for each area of the triangles.
C. Add all the areas of the triangles up and then subtract it by the area of the whole square.
D. Then take the answer you got from C. and then find the squareroot of that answer, and then you will find the answer of the line c.

2.
A. First find right triangle from the middle square.
B. Next take and add 2 squares on sides "a" and "b" with a area of 16 by taking how lond "a" and "b" is and turning them into a square with 4 on each side.
C. Add the areas of "a" and "b" squares and find the squareroot of areas "a" and "b" areas together.
D. And then you take the square root and put it on the hypotenuse so it will be a square, and then you find your answer.

Brandon Rowe :]

Anonymous said...

i found the area of the outside square then...i wrote the area of the big square inside the diagnal square...then i found the area of the little triangles by multiplying length and width then devided it by 2...the i took the area of a triangle and times it by 4...and then i took that answer and i subracted it by the area of the big sqaure...and i took the answer and before and made it the square it the square root of...

~jeremy davis~