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Double-check my math please: 69" x 92" screen = ? diagonal

Discussion in 'Displays' started by Don Black, Apr 23, 2003.

  1. Don Black

    Don Black Well-Known Member

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    I think it's 115" diagonally. Amy I right? Thanks.
     
  2. Chris PC

    Chris PC Well-Known Member

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    For a right angled triangle, it works the same for 4:3 or 16:9.

    For 4:3 its:

    actually really easy. 4 squared + 3 squared = hypotenuse squared which is 25. So the square root = 5. So the diagonal is 25% longer than the 4 in 4:3.

    Watch:

    92*1.25=115.

    :p

    There you go. The 16:9 ratio still holds too.

    It works like this for 1.77:1

    Using the common 1.77:1 screen we use the ratio of 16:9 or Now what you want to know is what the diagonal size is. You need to find the side of the right angled triangle that is unknown. That just happens to be the hypotenuse [​IMG] So lets go back to math class :p

    The square of the hypotenuse is equal to the sum of the squares of the other two sides.

    16 squared + 9 squared = 337 (or the hypotenuse squared)
    So to find the diagonal we have to find the square root of 337. The square root of 337 = 18.36

    So using inches as a unit, we now you know that a screen with dimensions 16:9 has a diagonal of 18.36". So just figure out how that diagonal compares to the longer side.

    So 18.36/16=1.148.

    So now you know that the diagonal of any 16:9 screen is going to be approximately 1.148 x the length of the longest side, the horizontal side.

    So for a 1.77:1 screen 69" x 92" you have:

    92" x 1.148 = 105.57 inches [​IMG]
     
  3. Gary.Blevins

    Gary.Blevins Active Member

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    I am a little confused. If you are looking for the diagonal measurement of any rectangle with a width of 92 and a height of 69, the formula would be:

    A^2 + B^2 = C^2

    92^2 + 69^2 = 13225 (C^2)

    Therefore, the square root of 13225 = 115 inches diagonal

    Am I missing something?

    Gary
     
  4. Bill Lucas

    Bill Lucas Well-Known Member

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    Chris,

    92" X 69" is a 4:3 screen, not a 1.78:1 screen. Your formula works for a screen that is 92" X 52".
     
  5. Stephen Hopkins

    Stephen Hopkins HW Reviewer
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    69" x 92" is a 4:3 screen with a 115" diagonal. Pretty sure Pathagerus would roll over in his grave if he read this thread.
     
  6. Jeff Drumm

    Jeff Drumm Member

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  7. Zen Butler

    Zen Butler Well-Known Member

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  8. Chris PC

    Chris PC Well-Known Member

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    Opps. Didn't catch that, I was typing too fast. So just replace the 1.78:1 - 16:9 ratio with 4:3 or 1.33:1.

    Really, what I was doing, is showing you that you don't have to do the squares once you have the ratio. Take any 4:3 screen and multiply the width x 1.25 and you'll get the diagonal. Likewise, take a 16:9 screen and multiply the width by 1.147 and you get the diagonal measure.

    Or multiply the height of a 4:3 by 1.66 or a 16:9 by 2.04.

    Why do I know these ratios? It gives you the ability to figure out your diagonal screen size when given one of your limitations. If you are limited by height before width, like me, I can only make a screen 40 inches high. I have way more than 70 inches across, but with only 40 inches of height, I know that 40 x 2.04 =81.60 inches.

    Try it out when fitting a screen for a certain area. Makes things easier to visualize and figure out.

    I've edited my post.

    Chris
     
  9. Paul Seyfarth

    Paul Seyfarth Well-Known Member

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    it doesn't matter what the ratio is, just take A^2 + B^2 = C^2. C is what you are looking for so you just have 92^2 + 69^2 = C^2, so just take square root, and you get 115 inches diagonal.
     
  10. Stephen Hopkins

    Stephen Hopkins HW Reviewer
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    Don't ya just hate it when a joke backfires on ya [​IMG]
     
  11. Don Black

    Don Black Well-Known Member

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    Wow. Thanks everyone.
     
  12. Gary.Blevins

    Gary.Blevins Active Member

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    [​IMG] Wasn't Pythagorus one of the dinosaurs in Jurassic Park?[​IMG]


    Gary
     
  13. Patrick Sun

    Patrick Sun Moderator
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    Well, I knew the dinosaurs got smarter in Jurassic Park 3, but they can do trig and geometry now? Whoa!
     

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