3-4-5 Squaring Method - General Discussion - Contractor Talk

3-4-5 Squaring Method

 
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Old 01-18-2012, 07:05 PM   #1
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3-4-5 Squaring Method


what is 3-4-5 squaring method
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Old 01-18-2012, 07:11 PM   #2
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Re: 3-4-5 Squaring Method


Do a google search for the Pythagorean theorem. It's the same thing. It makes perfect right angles.

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Old 01-18-2012, 07:11 PM   #3
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Re: 3-4-5 Squaring Method


Pythagorean theorem a2+b2=c2
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Old 01-18-2012, 07:12 PM   #4
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Re: 3-4-5 Squaring Method


Pathagorean therum- a squared plus b squared is equal to the square root of the sum
3x3=9
4x4=16
9+16=25
Square root of 25 is 5
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Old 01-18-2012, 07:14 PM   #5
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Re: 3-4-5 Squaring Method


Imagine a triangle. At the corner, measure 3 ft in one direction, then 4 feet from the corner at the 90 degree direction, then the two furthest points should be exactly 5 ft apart, which would mean the corner is square.
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Old 01-18-2012, 07:15 PM   #6
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Re: 3-4-5 Squaring Method


Quoting from 'Swansons Little Blue Book"...

"To lay out a 90 degree corner, measure out 3' on one side and 4' on the other and adjust until the diagonal is exactly 5', or use 6', 8', then 10' will be the diagonal."
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Old 01-18-2012, 07:16 PM   #7
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Re: 3-4-5 Squaring Method


3-4-5 squaring method-3-4-5.png
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Old 01-18-2012, 07:19 PM   #8
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Re: 3-4-5 Squaring Method


It doesn't have to be 3,4,5
It can be 12,12,16.97
The formula is usually expressed 3,4,5 becouse there whole numbers.
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Old 01-18-2012, 07:22 PM   #9
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Re: 3-4-5 Squaring Method


6-8-10 is my personal fav!
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Old 01-18-2012, 07:26 PM   #10
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Re: 3-4-5 Squaring Method


I'll bite...

Crudely....with a right triangle you have have a 90* corner with two legs, and a hypotenuse that connects those legs. Leg A=3', leg B=4' and the hypotenuse(C=5').

If you're framing a form with an inside corner you would measure 3' on one side and 4' one the other. Pull your measurements from the exact same point at the inside corner. If your corner is square, when you measure between the two points you just marked the measurement is 5'. Always use the same edge or your tape when measuring.

If your form is out of square you adjust the squareness until the hypotenuse=5'......

That's the basic principal.

Edit: what they said...thought I might be the only one to answer this one
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Old 01-18-2012, 07:28 PM   #11
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Re: 3-4-5 Squaring Method


Understanding the mathematical concept is one thing. Being able to apply it in the real world takes time.

Try to make the triangle as big as you can. To do that you just need to multiply the two legs by a common number. If you use 3 as your number then you have a 9 - 12 - 15 triangle.

If you have a construction calculator you can use the same principle with any length sides. Just by entering your two legs as rise and run. Then hit the diagonal button. This way you can check large forms from corner to corner, as an example.
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Old 01-18-2012, 07:31 PM   #12
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Re: 3-4-5 Squaring Method


Quote:
Originally Posted by Ninjaframer View Post
It doesn't have to be 3,4,5
It can be 12,12,16.97
The formula is usually expressed 3,4,5 becouse there whole numbers.
But the point is... the 345 squaring method is easy because it requires no calculation. Also easy because it is expandable, 6-8-10, 9-12-15, etc. If you're going to bother doing calculations, then you would go to the exact dimensions of your box and figure exact diagonals.
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Old 01-18-2012, 07:34 PM   #13
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Re: 3-4-5 Squaring Method


Lets work with offsets and batter boards. Call in the total station.
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Old 01-18-2012, 07:35 PM   #14
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Re: 3-4-5 Squaring Method


Quote:
Originally Posted by Hmbldr

But the point is... the 345 squaring method is easy because it requires no calculation. Also easy because it is expandable, 6-8-10, 9-12-15, etc. If you're going to bother doing calculations, then you would go to the exact dimensions of your box and figure exact diagonals.
12,12,16.97 is significant to framers. You can also look at the brace table on a framing square, It gives diagonals to many rise/runs.
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Old 01-18-2012, 07:42 PM   #15
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Re: 3-4-5 Squaring Method


Ninja, I agree and understand. Just relating back to the OP original question.
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Old 01-18-2012, 07:44 PM   #16
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Re: 3-4-5 Squaring Method


Quote:
Originally Posted by Hmbldr
Ninja, I agree and understand. Just relating back to the OP original question.
For sure
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Old 01-18-2012, 07:47 PM   #17
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Re: 3-4-5 Squaring Method


Actually, the real answer to the 345 method is when a framer has three beers, checks out four girls, then steps back five feet and eyeballs the chalk lines and says, "good enough".
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Old 01-18-2012, 07:54 PM   #18
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Re: 3-4-5 Squaring Method


O.P......This method is only as accurate as the material you're using is straight. A bow in lumber will throw everything off.
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Old 01-18-2012, 07:55 PM   #19
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Re: 3-4-5 Squaring Method


The op hasn't had any questions so we must have answered pretty well.
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Old 01-18-2012, 08:10 PM   #20
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Re: 3-4-5 Squaring Method


I was at church the other day, and there was a new pastor they were introducing. He was also a mathematics teacher and had traveled a lot.

I have heard and read a bit about the Pythagoreans. I think there may be some reference to them in the bible as well. Anyway, some think the theorum is based on the teachings of one man. I figured the Pythagoreans were a group of people from a region, like Pythagorea. See Sparta-Spartans, Athens-Athenians, etc.

So I asked the guy what he knew about it, if it was one man, a region, etc. and he said it was a region and specifically probably one person, but they had built a whole religion around the use of the numbers.

I'm not sure there wouldn't be some connection to the free masons. Once you master this knowledge, it would be very powerful. Just think of the respect given to someone today who can master all the information on a framing square.

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