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# Double-check my math please: 69" x 92" screen = ? diagonal (1 Viewer)

#### Don Black

##### Screenwriter
I think it's 115" diagonally. Amy I right? Thanks.

#### Chris PC

Senior HTF Member
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 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 #### Gary.Blevins

##### Agent
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

#### Bill Lucas

##### Supporting Actor
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".

#### Stephen Hopkins

HW Reviewer
Senior HTF Member
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.

#### Jeff Drumm

##### Grip
Pretty sure Pathagerus would roll over in his grave if he read this thread.
Yes, especially if he saw how his name is being butchered (Pythagoras, for those who care)

--
- Jeff

#### Zen Butler

Senior HTF Member
Yes, especially if he saw how his name is being butchered #### Chris PC

Senior HTF Member
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

#### Paul Seyfarth

##### Stunt Coordinator
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.

#### Stephen Hopkins

HW Reviewer
Senior HTF Member
Don't ya just hate it when a joke backfires on ya #### Don Black

##### Screenwriter
Wow. Thanks everyone.

#### Gary.Blevins

##### Agent Wasn't Pythagorus one of the dinosaurs in Jurassic Park? Gary

#### Patrick Sun

Senior HTF Member
Well, I knew the dinosaurs got smarter in Jurassic Park 3, but they can do trig and geometry now? Whoa!

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