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Old 03-12-2014, 05:48 PM   #1
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length of angled 2x4


Evening folks. This might be a dumb question so I apologize in advance. Anyhow im going to build a display stand for my wife and im trying to figure out how long a 2x4 cut at a 45 degree cute needs to be on both ends so that its sqauare to the ground. I want the overall height will be 34.5 inches. This is what i was talking about in case what i typed didnt make sense. Im assuming that those are 45. I dont have any plans so im just trying to copy the pic. Thanks for the help.

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Old 03-12-2014, 06:24 PM   #2
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length of angled 2x4


Ok i just remembered geometry 101. The Pythagorean theorem. If I did it right it should've right around 49 7/8in.

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Old 03-12-2014, 06:36 PM   #3
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length of angled 2x4


48-13/16" long to short.
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Old 03-12-2014, 10:02 PM   #4
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length of angled 2x4


Thanks. I guess my math was wrong. How did you figure that out?
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Old 03-12-2014, 10:35 PM   #5
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Thanks. I guess my math was wrong. How did you figure that out?
Simple and no math (this time).

As I sit here in my seat I saw a 4x8 sheet. I measured 34.5 up one way and then same square off the other. Pull a tape between the dots and there ya go.
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Old 03-13-2014, 07:55 AM   #6
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length of angled 2x4


1.414" is the diagonal of 1" on a 45 degree angle, within a fraction of 1/1000 of an inch. 34.5" x 1.414=48.783", or just a hair over 48 7/8".
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Old 03-13-2014, 08:31 AM   #7
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length of angled 2x4


But you need to start with a 2x4 that 3.5 inches longer than that to have enough wood to get the 45 cut at the top.
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Old 03-13-2014, 08:47 AM   #8
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1.414" is the diagonal of 1" on a 45 degree angle, within a fraction of 1/1000 of an inch. 34.5" x 1.414=48.783", or just a hair over 48 7/8".
Wouldn't that be a hair under 7/8"?
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Old 03-13-2014, 08:51 AM   #9
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length of angled 2x4


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Wouldn't that be a hair under 7/8"?
Not if you memorized your decimal equivalents as a kid.
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Old 03-13-2014, 10:31 AM   #10
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length of angled 2x4


Quote:
Originally Posted by loneframer View Post
1.414" is the diagonal of 1" on a 45 degree angle, within a fraction of 1/1000 of an inch. 34.5" x 1.414=48.783", or just a hair over 48 7/8".

Not if you memorized your decimal equivalents as a kid.
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Old 03-13-2014, 11:01 AM   #11
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length of angled 2x4


For the diagonal length, you have to reduce the 34.5" overall height by the thickness of the top shelf. After that, it is just geometry if you want to go with the 45 degree assumption.
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Old 03-13-2014, 11:46 AM   #12
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length of angled 2x4


The overall high will be 36 inches. I already subtracted the width of the top shelf. Probably should've mentioned earlier but the overall depth is going to be 36 inches as well

Thanks for the help
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Old 03-13-2014, 11:50 AM   #13
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length of angled 2x4


Quote:
Originally Posted by loneframer
1.414" is the diagonal of 1" on a 45 degree angle, within a fraction of 1/1000 of an inch. 34.5" x 1.414=48.783", or just a hair over 48 7/8".
Do you have a table that use that gives the diagonals! If so could you provide a length?
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Old 03-13-2014, 05:14 PM   #14
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Originally Posted by Fairview View Post
Not if you memorized your decimal equivalents as a kid.
The conversions are still burned in my brain. Long before CM calculators they were it. You couldn't build much without them. I still use them to this day.
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Old 03-13-2014, 09:16 PM   #15
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I prefer to sketch it out. If this is what you are planning, then the length is 48.79"
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