Posted by **Rick** on Tuesday, April 6, 2010 at 12:19pm.

okay, if I have a square, and know the square footage-how can I find the middle of that square? I can't figure this out for the life of me.

- geometry -
**Reiny**, Tuesday, April 6, 2010 at 12:31pm
If you know the area, take the √ of that area to get the length of the sides,

e.g. area = 500 cm^2

side = √500 = 22.36

now you want the length of the diagonal, which is the hypotenuse.

h^2 = side^2 + side^2

h^2 = 2(side^2)

e.g.

h^2 = 22.36^2 + 22.36^2 = 1000

h = √1000 = 31.6227

The middle of that square is 1/2 way down the hypotenuse or the diagonal, which would be 15.8 for my example.

The above is the explanation, here is the shortcut :

double your area

take square root of that

take 1/2 of that answer

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