What does it mean to refer to a 20 inch TV or a 25 inch tv set? Such ubits are refer to the diagonal of the screen. A 25 inch TV set also has a width of 20 inch what is its height?
would I multiply 20 by the height to get the diagonal? I think the answer is 15 inches
Please let me know if this is correct.
The "measurement" of a TV is based on the length of the diagonal, or the hypotenuse
So if a 25 inch TV has a width of 20, then
l^2 + 20^2 = 25^2
l^2 = 625-400 = 225
l = √225 = 15
Based on the Pythagorean Theorem.
So was I correcdt
... but how would you get 15 by multiplying 20 by the height?
Might you have noticed the new HD screen ratio comparison to its predecessor?
The old screen ratio was 4:3 while the new one is 16:9. That's 4^2/3^2.
The new screen ratio actually results in an 11% reduction in actual screen area.
To understand the dimensions of a TV set, it is important to know that the measurement (e.g., 20 inches or 25 inches) refers to the diagonal length of the screen. This means that if you were to measure from one corner of the screen to the opposite corner in a straight line, it would be 20 inches or 25 inches, depending on the TV.
However, the question asks about the height of a TV set if its width is given as 20 inches. To find the height, we need to use the aspect ratio of the screen. Most commonly, TVs have a 16:9 aspect ratio, which means the width is 16 units for every 9 units of height.
Now, let's find the height of the 25-inch TV with a width of 20 inches using the aspect ratio:
1. Calculate the ratio of width to height: 16 units / 9 units.
2. Divide the width (20 inches) by the ratio: 20 inches / (16/9) ≈ 11.25 inches.
3. So, the height of the 25-inch TV set with a width of 20 inches would be approximately 11.25 inches.
Hence, the correct height for the given dimensions would be approximately 11.25 inches, not 15 inches.