Originally posted by: bleuless
Originally posted by: Navid
Originally posted by: JacobJ
I wonder how tall this is compared to my dell 19" non-widescreen...maybe I should buy it to find out
You can use the
Pythagorean Theorem to calculate it.
You have the aspect ratio of the screens. So, you have the ratio of a to b for each screen. You have the diagonal size of each screen. So, you have c for each screen. Then, using that Theorem, you can calculate b (vertical size of the screen) for each screen.
i think you need more than just pythagorean theorem to figure out this. you have 2 unknown variables, and a ratio and 90 degree angle. its solvable, but its not basic algebra.
Let's calculate the height of a 20" wide screen.
We know that the height to the width ratio is 10/16 because we know the aspect ratio (10 X 16). So, we know b/a = 10/16. Then we use the theorem to calculate
c for such a triangle. Please note that at this point we are working on an imaginary triangle with its
b equal to 10 and its
a equal to 16. Such a triangle will have a
c that should satisfy c^2 = a^2 + b^2 (the theorem). So, c^2 = 16^2 + 10^2 = 256 + 100 = 356. So, c = the square root of 356, which is 18.87.
So, a triangle with the sides of 10, 16 and 18.87 corresponds to any wide screen monitor (cut diagonally) with a 10X16 aspect ratio. Now, by plugging in different diagonal dimensions, we can calculate the corresponding height for any monitor of that aspect ratio.
For a 20" monitor, we know
c is 20". So, we can calculate
b.
b/c = b/20" = 10/18.87.
This is one equation with one unknown, which we can solve to find
b.
So, b = 20" X 10 / 18.87 = 10.6". That means that the height of a 20" monitor with a 10X16 aspect ratio is 10.6".