If I cut a corner o...
 

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[Closed] If I cut a corner off a square, how do I work out what i'm left with?

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Example:
A square has equal sides of 2860mm
I cut one corner off so that I have an opening of 1420mm
What length are the 2 now shortened sides?


 
Posted : 11/08/2021 3:04 pm
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It depends what you mean by "an opening of 1420mm"


 
Posted : 11/08/2021 3:06 pm
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The 1420 is the hypotenuse so the square of that, divided by 2 is the square of the length you need to deduct from 2860.
1856 is the number you asked for.


 
Posted : 11/08/2021 3:09 pm
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What angle is the opening relative to the sides?


 
Posted : 11/08/2021 3:10 pm
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Is there an assumption that the shortened sides are still equal in length?

If they are, the cutoff is a 45/45/90 triangle with a 1420mm hypotenuse. The ratios there are n:n:n×√2, so you can divide 1420 by the square root of 2 to find the length of the missing part of the side, then subtract that from your side length.

If the cut isn't even, you're going to need more info.


 
Posted : 11/08/2021 3:11 pm
 loum
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1856mm


 
Posted : 11/08/2021 3:11 pm
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This is just basic trig, isn't it, assuming your cut off corner has 2 equal lengths.

If a^2 + B^2 = c^2 and c^2 = 1,420mm

then a & b are 1,004mm and the remaining sides of the original square are 2,860-1,004 = 1,856mm


 
Posted : 11/08/2021 3:12 pm
 loum
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Not allowing for any thickness to your walls.
That's "external", if that makes sense.
Any thickness to your walls and the clear opening won't be 1420.
That's a different calc, depends exactly what you're trying to achieve.
Or cut the entrance at a 45 degree angle back into the square, maybe.


 
Posted : 11/08/2021 3:15 pm
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Damn, it's amazing what you forget when you don't use it.
Thx all


 
Posted : 11/08/2021 3:16 pm
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Not allowing for any thickness to your walls.
That’s “external”, if that makes sense.
Any thickness to your walls and the clear opening won’t be 1420.
That’s a different calc, depends exactly what you’re trying to achieve.

Good point - then the answer is probably just to buy a new bike


 
Posted : 11/08/2021 3:17 pm
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Has someone cut the carpet too short again?


 
Posted : 11/08/2021 3:17 pm
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6' 1 1/16"


 
Posted : 11/08/2021 3:20 pm
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If you cut each of the four corners off, you won't need to use Blutac in each corner to stick your poster to the wall.


 
Posted : 11/08/2021 3:20 pm
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Weigh it obvs.


 
Posted : 11/08/2021 3:34 pm
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Measure it.


 
Posted : 11/08/2021 4:08 pm
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Is no one going to ask: ‘Why? What are you making ?


 
Posted : 11/08/2021 5:16 pm
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A square has equal sides of 2860mm

Well I'd be a bit suspicious if they weren't equal.


 
Posted : 11/08/2021 5:41 pm
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This is a substantial flapjack.


 
Posted : 12/08/2021 8:00 am
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Flatpjack is rectangular. Now millionaire shortbread...


 
Posted : 12/08/2021 8:11 am
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How do you know the opening is 1420mm? Take whatever you used to measure that to measure the sides.


 
Posted : 12/08/2021 8:56 am