Length of the sides of a square

The diagonal length of the square from corner to corner is 19 inches.  Formula for the 4 equal sides of the square.
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nickg5Asked:
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Mal OsborneAlpha GeekCommented:
13.43503 Inches.

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Mal OsborneAlpha GeekCommented:
Pythagoras Theorem. H^2 = A^2 + B^2.

A = B, hence H^2 = 2xA^2.

ie A= The Square root of half H squared.
d-glitchCommented:
The two triangles they combine to form a square are isocoles right triangles: one 90 deg angle, two 45 deg angles, and two equal sides.

If the longest side of one of these triangles is 19 inches, then all the other sides are 19/sqrt(2).
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nickg5Author Commented:
Thanks. It's a 19 inch computer monitor but it's square and not around 10 x 14 like most monitors.
CompProbSolvCommented:
Interesting... I don't think I've ever seen a square computer monitor.  It was typical to have a 4:3 ration between width and height, but not square.  Where did this come from?
nickg5Author Commented:
https://charlotte.craigslist.org/ele/d/charlotte-computer-monitor-19-inches/6821518754.html

So mathmatically all monitors could be made square? The diagonal length could be 19 as is the case for the one from that link. Or the diagonal length could be 25, 40, etc. and still you could have a square.
d-glitchCommented:
Certainly.  You can pick any length and construct a square with that length as either a side or a diagonal.

If you want to use that shape as a computer monitor, you will have to think about the interface.  For example, to connect a square monitor to a standard 640 x 480 VGA card, you would have to discard some pixels or stretch all of them.  

Getting a circle to look round on a CRT usually required some tweaking of the aspect ratio.
nickg5Author Commented:
I heard from that seller who has the monitor listed in that link above. They say the screen is 14.75 wide × 12 inches high and diagonal 19.
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Math / Science

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