Geometria de TelasW² + H² = D²
Calculadora de Diagonal e Dimensões de TV
Convert any manufacturer diagonal measurement into true panel width, height, and viewable square area before buying mounts or media cabinets. Solving general triangles or missing legs? Try our root Pythagoras equation solver.
16:9, 21:9, 32:9, 16:10 & 4:3Exact Radical Normalization (√337)Inches & Centimeters Toggle
Result updated: 65 in screen width is 56.65 in, height is 31.87 in, area is 1,805.3 square in.
Calculadora de Diagonal e Dimensões de TV
w = (rw · d) / √(rw² + rh²) · h = (rh · d) / √(rw² + rh²)
Select a common screen size preset or enter custom diagonal and aspect ratio numbers.
Aspect Ratio
Largura
56.65 in
Altura
31.87 in
Área da Tela
1,805.3 in²
Referência de Tamanhos de TV Comuns
1. Compute Aspect Ratio Diagonal Norm
norm = √(16² + 9²) = √337 ≈ 18.3576
2. Solve Width from Pythagorean Scale Factor
w = (16 × 65) / 18.3576 ≈ 56.65 in
3. Solve Height & Verify Area
h ≈ 31.87 in, Area ≈ 1,805.34 in²
| TV Diagonal (16:9) | Width (in) | Height (in) | Area (in²) |
|---|---|---|---|
| 43 in | 37.5 in | 21.1 in | 790 in² |
| 50 in | 43.6 in | 24.5 in | 1,068 in² |
| 55 in | 47.9 in | 27 in | 1,293 in² |
| 65 in | 56.7 in | 31.9 in | 1,805 in² |
| 75 in | 65.4 in | 36.8 in | 2,404 in² |
| 85 in | 74.1 in | 41.7 in | 3,087 in² |
Referência de Tamanhos de TV Comuns
| Class Diagonal | 16:9 Largura | 16:9 Altura | 16:9 Área da Tela | 21:9 Ultrawide (W × H) |
|---|---|---|---|---|
| 43" | 37.5" | 21.1" | 790 in² | 39.5" × 16.9" |
| 50" | 43.6" | 24.5" | 1,068 in² | 46" × 19.7" |
| 55" | 47.9" | 27" | 1,293 in² | 50.6" × 21.7" |
| 65" | 56.7" | 31.9" | 1,805 in² | 59.7" × 25.6" |
| 75" | 65.4" | 36.8" | 2,404 in² | 68.9" × 29.5" |
| 85" | 74.1" | 41.7" | 3,087 in² | 78.1" × 33.5" |
How Screen Diagonals Map to Width & Height
TVs and monitors are always sold by corner-to-corner diagonal screen glass size D. Knowing the aspect ratio W : H (such as 16 : 9), the ratio diagonal norm equals √(16² + 9²) = √337 ≈ 18.3576.
Width = D × (W / √(W² + H²)) | Height = D × (H / √(W² + H²)) | Area = Width × Height