geometric dot paper

truepearl

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Joined
May 8, 2010
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4
How can I draw a length of the square root of 17 using only dot paper? Would I draw the length as the square root of 16 which is 4 plus the square root of 1 which is one? If that is correct can I draw the lenght of the square root of 11 using only dot paper?
 
Hello, truepearl!

How can I draw a length of \(\displaystyle \sqrt{17}\) using only dot paper?

Would I draw the length as the square root of 16 which is 4 plus the square root of 1 which is one?
. .
I hope you're joking . . .

\(\displaystyle \text{Sure, that would work if: }\:\sqrt{17} \;=\;5\)


On your dot paper, draw a 1-by-4 rectangle.

Its diagonal is \(\displaystyle \sqrt{17}\) . . . Do you see why?

 
No, I don't see why. When I calculate the square root of 17, I get 4.123. If I draw a 1 by 4 rectangle I get 4. If I divide it diagonally, It still it 4.
 
truepearl said:
No, I don't see why. When I calculate the square root of 17, I get 4.123. If I draw a 1 by 4 rectangle I get 4. If I divide it diagonally, It still it 4.
NO you don't; draw the rectangle, then measure from top left corner to bottom right corner:
you'll get 4.123; are you learning online or attending math classes?
 
Hello, truepearl!

No, I don't see why.
When I calculate the square root of 17, I get 4.123.
If I draw a 1 by 4 rectangle I get 4 . . . . What is 4?
If I divide it diagonally, it still is 4 . . . . Really?

Suppose we have a 4 x 10 rectangle.

Code:
    A *---------o D
      |\        |
      | \       |
      |  \      |
      |   \     |
      |    \    |
   10 |     \   |
      |      \  |
      |       \ |
      |        \|
    B o---------o C
           4


This is 4 units.

Code:
    B o - - - - o C
      :  - 4 -  :


Are you saying that \(\displaystyle AC\) is also 4 units?

 
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