# Screen width/height from diagonal size?

Discussion in 'Home Cinema & Hi-Fi' started by One More Solo, 26 May 2006.

1. One More Solo

# Location: Manchester

How do you work this out, I had an equation for it but I've lost it and it's too late for maths. For a 37" screen what is the visible height/width?

2. Havana_UK

# Location: location, location

Pythagoras' Theorum m'boy.

Width squared + height squared = diagonal squared

Using this, and the height to width ratio (e.g. 16:9) you can work out the visible area.

16 squared = 256
9 squared = 81
256 + 81 = 337

square root of 337 = 18.358

37 / 18.358 = 2.015

16 x 2.015 = 32.24
9 x 2.015 = 18.14

So, there you have it.
A 37", 16:9 screen has a visible area of 32.24" x 18.14".

Hav

3. Mud

# Location: Bristol

Pythagorus says A^2 + B^2 = C^2...and you know C^2 = 37" and the ratio of A: B, thats all you need.

16:9 screen so:
(16x)^2 + (9x)^2 = C^2
then once you know what x is, 16x is the width, 9x is the height.

So for 37" screen you're looking at 32.2"x18.1"

edit: beaten