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check my math - monitor fun! by dennismv2011-04-02 14:45:57
  I sometimes like to show my work. by kelli217 2011-04-02 16:57:03
That way if I screw up, someone else can point out to me where I've gone wrong.

21" as the hypotenuse of a right triangle of proportions 4x3 means the hypotenuse's proportion to the legs is 5, making a 3-4-5 triangle. That's 21" / 5 = 4.2 (inches per proportion unit, or 'inpro'), for the hypotenuse of that monitor, and then 4.2 x 3 to get the vertical measure: 12.6".

A 16x9 leg proportion right triangle means that it has a hypotenuse of approximately 18.4. Now we work with our desired vertical height of 12.6" and work out that our inpro is 12.6 / 9, or 1.4, and using that inpro for the hypotenuse works out to 1.4 x 18.4 or 25.76", which rounds to 25.8". Pretty close to your answer.

A 16x10 leg proportion right triangle means a hypotenuse of approximately 18.9. Our inpro for this is 12.6 / 10, or 1.26, times 18.9 is 23.814", which rounds to 23.8" very nicely.

As long as no one finds fault with this methodology, I'd say you got the right numbers.
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