Bored + Me = Math?

Creativity
1

So I was bored and decided I wanted to know the width and height of my TV screen. I did some simple math and figured out a universal formula to figure out the width and height of a 16:9 square pixel monitor/TV.

The formula is:
(16/9(c/((√337)/9)))² + (c/((√337)/9))² = c²
Where c is the (most commonly advertised) diagonal lenth of your screen. Eg. “A 32-inch flat screen TV.”

I broke down the formula so it basically follows the Pythagorean theorem (a² + b² = c²). So the group in parentheses to the left of the + is the formula for a, the parentheses after the + is the formula for b and c is given.

So for instance solving the width (a) and height (b) of a 46" © flatscreen TV :
• (16/9(46/(18.35756/9)))² + (46/(18.35756/9))² = 2116
• (1.777778(46/(2.039729)))² + (46/(2.039729))² = 2116
• (1.777778(22.55202))² + (22.55202)² = 2116
• (40.09248)² + (22.55202)² ~ 2116

So now we have:
• a (the width) as 40.09248"
• b (the height) as 22.55202"

To test, finish the formula:
• (40.09248)² + (22.55202)² ~ 2116
• 1,607.407 + 508.5936 = 2116.001
So 2116.001 is about equal to 2116 (or 46²).

1 Like
2

Why didn’t you just use a ruler or a tape measure?

3

Too lazy…

2 Likes
4

that was some impressive mathematics ! I haven’t seen stuff like that since college.

1 Like
5

OK, lol…Next up on the agenda: the cubic capacity of your refrigerator.

1 Like
6

Thanks, it’s all pure algebra/geometry. I never went to college, so I was kinda stuck with what I learned in high school + what I learn with free online videos.

1 Like
7

Ugh…Flower pretty…Fire bad…Brain hurts…Brain hurts! Make it stop…Make it stop.

PS. If I remember rightly Wikipedia has all the dimensions etc down for all screen ratios lol.

8

A few years ago, I figured out how to measure the distance of an object if you know the object’s width, the camera (or eye) FOV angle, and the object must be centered in view. I forgot it, but it actually was kinda useful. I was gonna make an android app that uses it… Never got around to it though.