# Root2 help (1 Viewer)

#### atamiabwv

##### New Member
Does anyone know how you can prove that the ratio of the longer side length to the shorter side length of a piece of paper is equal to root2?

View attachment IMG_6381.bmp

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#### HeroWise

##### Active Member
Clarify

Or the way Trump would do it; U need these 2 things:

1) A ruler
2) This is the important thing. U get an A4 Page

U measure The length and breadth

I got length = 29.5

29.5/ 21.5 = Approx sqrt2 as I got 1.40476...

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#### atamiabwv

##### New Member
Clarify

Or the way Trump would do it; U need these 2 things:

1) A ruler
2) This is the important thing. U get an A4 Page

U measure The length and breadth

I got length = 29.5

29.5/ 21.5 = Approx sqrt2 as I got 1.40476...
lmao xD I've attached a picture of the question now

#### InteGrand

##### Well-Known Member
Does anyone know how you can prove that the ratio of the longer side length to the shorter side length of a piece of paper is equal to root2?

View attachment 34518
$\bg_white \noindent Similar rectangles implies that \frac{z}{y} = \frac{y}{x}, so xz = y^{2}. \color{blue}{But x = z/2, since we are cutting the paper in half. }\color{black} Substituting x = z/2, we have xz = y^{2} \Rightarrow \frac{z^{2}}{2} = y^{2} \Rightarrow \frac{z}{y} = \sqrt{2}. That is, the ratio of the longer side to the shorter side is \sqrt{2}.$

#### HeroWise

##### Active Member
Funny thing is that it actually approaches root2 isnt that scary, I vote for trumps method;

anyway i see someone has already solved it so no need for me to do it v_v