Quick answer
Screen height = diagonal × ah ÷ √(aw² + ah²). A 55 inch 16:9 TV is 26.96 in tall and 47.94 in wide.
Enter the diagonal and aspect ratio. The calculator returns the screen height and width.
Related tools: TV Mounting Height Calculator: Bottom and top edge height to center the screen at eye level. 16:9 Aspect Ratio Calculator: The missing dimension for a 16:9 frame.
How to use the TV Height Calculator
- Enter screen diagonal (in) (above 0).
- Enter aspect ratio width (above 0). It starts at 16.
- Enter aspect ratio height (above 0). It starts at 9.
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Screen diagonal | A number, in in | > 0 |
| Aspect ratio width | A number | > 0, starts at 16 |
| Aspect ratio height | A number | > 0, starts at 9 |
Formula and method
Formula
height = diagonal × ah ÷ √(aw² + ah²)
IEEE-754 double precision; shown to the decimals indicated.
Visible screen only, without the bezel.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Screen diagonal = 55; Aspect ratio width = 16; Aspect ratio height = 9.
| Result | Value |
|---|---|
| Screen height | 26.96 in |
| Screen width | 47.94 in |
Example 2
Inputs: Screen diagonal = 75; Aspect ratio width = 16; Aspect ratio height = 9.
| Result | Value |
|---|---|
| Screen height | 36.77 in |
| Screen width | 65.37 in |
Example 3
Inputs: Screen diagonal = 43; Aspect ratio width = 21; Aspect ratio height = 9.
| Result | Value |
|---|---|
| Screen height | 16.94 in |
| Screen width | 39.52 in |
The first line is the headline result (screen height). Below it the tV Height Calculator lists screen width, which describe the same case from other angles. IEEE-754 double precision; shown to the decimals indicated.
Why it matters
Height tells you whether a TV fits under a shelf or above a console. The stand and bezel add to the figure.
Rules
Bezels are not included. For a 16:9 screen, height is about 49% of the diagonal and width 87%.
How the result changes with screen diagonal
Holding every other input at the first worked example, this table changes only screen diagonal. It shows how sensitive the answer is to that one value; each row was produced by running this calculator.
| Screen diagonal | Screen height | Screen width |
|---|---|---|
| 27.5 | 13.48 in | 23.97 in |
| 55 | 26.96 in | 47.94 in |
| 110 | 53.93 in | 95.87 in |
| 220 | 107.86 in | 191.75 in |
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Screen diagonal: entering "0" shows "Screen diagonal must be greater than 0." beside that field and no result.
- Aspect ratio height: entering "0" shows "Aspect ratio height must be greater than 0." beside that field and no result.
Choosing between the TV Height Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [TV Mounting Height Calculator](/technology/tv-mounting-height/) | screen diagonal, aspect ratio width and aspect ratio height | Bottom edge height |
| [Height Calculator](/health/height-calculator/) | convert | Height |
| [16:9 Aspect Ratio Calculator](/technology/16-9-aspect-ratio/) | Matching size | |
| [Resolution Scale Calculator](/technology/resolution-scale/) | width, height and scale | Scaled resolution |
| [Screen Size Calculator](/technology/screen-size-calculator/) | diagonal, aspect ratio width and aspect ratio height | Screen size |
Background: networking and display
Network speeds are quoted in bits per second and file sizes in bytes, and a byte is 8 bits, so a 100 Mbps link moves at most 12.5 megabytes per second; real throughput is usually below the advertised rate. Pixel density is the diagonal in pixels divided by the diagonal in inches: a 1920×1080 display of 24 inches is about 92 pixels per inch, and a 3840×2160 display of 27 inches about 163.
Assumptions and limitations
- Bezels are not included
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for screen diagonal and aspect ratio height to confirm this.
Frequently asked questions
How tall is a 75 inch TV?
A 75 inch 16:9 TV is 75 × 9 ÷ 18.358 ≈ 36.8 inches tall and 65.4 inches wide.
How tall is a 43 inch TV?
A 43 inch 16:9 TV is about 21.1 inches tall and 37.5 inches wide.
Does 4K change the size?
No, only the pixels.
What does the TV Height Calculator calculate?
Screen height from diagonal and aspect ratio. It returns Screen height and Screen width.
What formula does the TV Height Calculator use?
height = diagonal × ah ÷ √(aw² + ah²). Visible screen only, without the bezel.
What do I need to enter in the tV Height Calculator?
You enter Screen diagonal (in), Aspect ratio width and Aspect ratio height.
How is the result rounded or limited?
IEEE-754 double precision; shown to the decimals indicated. Bezels are not included.
What is an example of a tV Height result?
With screen diagonal 55, aspect ratio width 16 and aspect ratio height 9, the screen height is 26.96 in.
Related calculators
- TV Mounting Height Calculator — Bottom and top edge height to center the screen at eye level.
- 16:9 Aspect Ratio Calculator — The missing dimension for a 16:9 frame.
- Resolution Scale Calculator — Scaled resolution at a percentage.
- Screen Size Calculator — Width, height and area of a screen from its diagonal and aspect ratio.
- Aspect Ratio Calculator — Simplest aspect ratio of a width and height.
Sources
- OpenStax, Prealgebra 2e (Rice University): perimeter, area, volume, circumference and the Pythagorean theorem
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.