The formula to calculate the Long Diagonal of Parallelogram (dLong) is:
\[ dLong = \sqrt{(2 \times eLong^2) + (2 \times eShort^2) - dShort^2} \]
Where:
Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.
Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.
Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.
Let's assume the following values:
Using the formula:
\[ dLong = \sqrt{(2 \times eLong^2) + (2 \times eShort^2) - dShort^2} \]
Evaluating:
\[ dLong = \sqrt{(2 \times 12^2) + (2 \times 7^2) - 9^2} \]
The Long Diagonal of Parallelogram is 17.464249196573 meters.
| Long Edge of Parallelogram (meters) | Short Edge of Parallelogram (meters) | Short Diagonal of Parallelogram (meters) | Long Diagonal of Parallelogram (meters) |
|---|---|---|---|
| 10 | 5 | 8 | 13.638181696985855 |
| 10 | 5 | 9 | 13.000000000000000 |
| 10 | 5 | 10 | 12.247448713915890 |
| 10 | 5 | 11 | 11.357816691600547 |
| 10 | 5 | 12 | 10.295630140987001 |
| 10 | 6 | 8 | 14.422205101855956 |
| 10 | 6 | 9 | 13.820274961085254 |
| 10 | 6 | 10 | 13.114877048604001 |
| 10 | 6 | 11 | 12.288205727444508 |
| 10 | 6 | 12 | 11.313708498984761 |
| 10 | 7 | 8 | 15.297058540778355 |
| 10 | 7 | 9 | 14.730919862656235 |
| 10 | 7 | 10 | 14.071247279470288 |
| 10 | 7 | 11 | 13.304134695650070 |
| 10 | 7 | 12 | 12.409673645990857 |
| 10 | 8 | 8 | 16.248076809271922 |
| 10 | 8 | 9 | 15.716233645501712 |
| 10 | 8 | 10 | 15.099668870541500 |
| 10 | 8 | 11 | 14.387494569938159 |
| 10 | 8 | 12 | 13.564659966250536 |
| 10 | 9 | 8 | 17.262676501632068 |
| 10 | 9 | 9 | 16.763054614240211 |
| 10 | 9 | 10 | 16.186414056238647 |
| 10 | 9 | 11 | 15.524174696260024 |
| 10 | 9 | 12 | 14.764823060233400 |
| 10 | 10 | 8 | 18.330302779823359 |
| 10 | 10 | 9 | 17.860571099491750 |
| 10 | 10 | 10 | 17.320508075688775 |
| 10 | 10 | 11 | 16.703293088490067 |
| 10 | 10 | 12 | 16.000000000000000 |
| 11 | 5 | 8 | 15.099668870541500 |
| 11 | 5 | 9 | 14.525839046333950 |
| 11 | 5 | 10 | 13.856406460551018 |
| 11 | 5 | 11 | 13.076696830622021 |
| 11 | 5 | 12 | 12.165525060596439 |
| 11 | 6 | 8 | 15.811388300841896 |
| 11 | 6 | 9 | 15.264337522473747 |
| 11 | 6 | 10 | 14.628738838327793 |
| 11 | 6 | 11 | 13.892443989449804 |
| 11 | 6 | 12 | 13.038404810405298 |
| 11 | 7 | 8 | 16.613247725836150 |
| 11 | 7 | 9 | 16.093476939431081 |
| 11 | 7 | 10 | 15.491933384829668 |
| 11 | 7 | 11 | 14.798648586948742 |
| 11 | 7 | 12 | 14.000000000000000 |
| 11 | 8 | 8 | 17.492855684535900 |
| 11 | 8 | 9 | 17.000000000000000 |
| 11 | 8 | 10 | 16.431676725154983 |
| 11 | 8 | 11 | 15.779733838059499 |
| 11 | 8 | 12 | 15.033296378372908 |
| 11 | 9 | 8 | 18.439088914585774 |
| 11 | 9 | 9 | 17.972200755611428 |
| 11 | 9 | 10 | 17.435595774162696 |
| 11 | 9 | 11 | 16.822603841260722 |
| 11 | 9 | 12 | 16.124515496597098 |
| 11 | 10 | 8 | 19.442222095223581 |
| 11 | 10 | 9 | 19.000000000000000 |
| 11 | 10 | 10 | 18.493242008906929 |
| 11 | 10 | 11 | 17.916472867168917 |
| 11 | 10 | 12 | 17.262676501632068 |
| 12 | 5 | 8 | 16.552945357246848 |
| 12 | 5 | 9 | 16.031219541881399 |
| 12 | 5 | 10 | 15.427248620541512 |
| 12 | 5 | 11 | 14.730919862656235 |
| 12 | 5 | 12 | 13.928388277184119 |
| 12 | 6 | 8 | 17.204650534085253 |
| 12 | 6 | 9 | 16.703293088490067 |
| 12 | 6 | 10 | 16.124515496597098 |
| 12 | 6 | 11 | 15.459624833740307 |
| 12 | 6 | 12 | 14.696938456699069 |
| 12 | 7 | 8 | 17.944358444926362 |
| 12 | 7 | 9 | 17.464249196572979 |
| 12 | 7 | 10 | 16.911534525287763 |
| 12 | 7 | 11 | 16.278820596099706 |
| 12 | 7 | 12 | 15.556349186104045 |
| 12 | 8 | 8 | 18.761663039293719 |
| 12 | 8 | 9 | 18.303005217723125 |
| 12 | 8 | 10 | 17.776388834631177 |
| 12 | 8 | 11 | 17.175564037317667 |
| 12 | 8 | 12 | 16.492422502470642 |
| 12 | 9 | 8 | 19.646882704388499 |
| 12 | 9 | 9 | 19.209372712298546 |
| 12 | 9 | 10 | 18.708286933869708 |
| 12 | 9 | 11 | 18.138357147217054 |
| 12 | 9 | 12 | 17.492855684535900 |
| 12 | 10 | 8 | 20.591260281974002 |
| 12 | 10 | 9 | 20.174241001832016 |
| 12 | 10 | 10 | 19.697715603592208 |
| 12 | 10 | 11 | 19.157244060668017 |
| 12 | 10 | 12 | 18.547236990991408 |
| 13 | 5 | 8 | 18.000000000000000 |
| 13 | 5 | 9 | 17.521415467935231 |
| 13 | 5 | 10 | 16.970562748477139 |
| 13 | 5 | 11 | 16.340134638368191 |
| 13 | 5 | 12 | 15.620499351813308 |
| 13 | 6 | 8 | 18.601075237738275 |
| 13 | 6 | 9 | 18.138357147217054 |
| 13 | 6 | 10 | 17.606816861659009 |
| 13 | 6 | 11 | 17.000000000000000 |
| 13 | 6 | 12 | 16.309506430300090 |
| 13 | 7 | 8 | 19.287301521985910 |
| 13 | 7 | 9 | 18.841443681416774 |
| 13 | 7 | 10 | 18.330302779823359 |
| 13 | 7 | 11 | 17.748239349298849 |
| 13 | 7 | 12 | 17.088007490635061 |
| 13 | 8 | 8 | 20.049937655763422 |
| 13 | 8 | 9 | 19.621416870348583 |
| 13 | 8 | 10 | 19.131126469708992 |
| 13 | 8 | 11 | 18.574175621006709 |
| 13 | 8 | 12 | 17.944358444926362 |
| 13 | 9 | 8 | 20.880613017821101 |
| 13 | 9 | 9 | 20.469489490458720 |
| 13 | 9 | 10 | 20.000000000000000 |
| 13 | 9 | 11 | 19.467922333931785 |
| 13 | 9 | 12 | 18.867962264113206 |
| 13 | 10 | 8 | 21.771541057077240 |
| 13 | 10 | 9 | 21.377558326431949 |
| 13 | 10 | 10 | 20.928449536456348 |
| 13 | 10 | 11 | 20.420577856662138 |
| 13 | 10 | 12 | 19.849433241279208 |
| 14 | 5 | 8 | 19.442222095223581 |
| 14 | 5 | 9 | 19.000000000000000 |
| 14 | 5 | 10 | 18.493242008906929 |
| 14 | 5 | 11 | 17.916472867168917 |
| 14 | 5 | 12 | 17.262676501632068 |
| 14 | 6 | 8 | 20.000000000000000 |
| 14 | 6 | 9 | 19.570385790780925 |
| 14 | 6 | 10 | 19.078784028338912 |
| 14 | 6 | 11 | 18.520259177452136 |
| 14 | 6 | 12 | 17.888543819998318 |
| 14 | 7 | 8 | 20.639767440550294 |
| 14 | 7 | 9 | 20.223748416156685 |
| 14 | 7 | 10 | 19.748417658131498 |
| 14 | 7 | 11 | 19.209372712298546 |
| 14 | 7 | 12 | 18.601075237738275 |
| 14 | 8 | 8 | 21.354156504062622 |
| 14 | 8 | 9 | 20.952326839756964 |
| 14 | 8 | 10 | 20.493901531919196 |
| 14 | 8 | 11 | 19.974984355438178 |
| 14 | 8 | 12 | 19.390719429665317 |
| 14 | 9 | 8 | 22.135943621178654 |
| 14 | 9 | 9 | 21.748563170931547 |
| 14 | 9 | 10 | 21.307275752662516 |
| 14 | 9 | 11 | 20.808652046684813 |
| 14 | 9 | 12 | 20.248456731316587 |
| 14 | 10 | 8 | 22.978250586152114 |
| 14 | 10 | 9 | 22.605309110914629 |
| 14 | 10 | 10 | 22.181073012818835 |
| 14 | 10 | 11 | 21.702534414210707 |
| 14 | 10 | 12 | 21.166010488516726 |
| 15 | 5 | 8 | 20.880613017821101 |
| 15 | 5 | 9 | 20.469489490458720 |
| 15 | 5 | 10 | 20.000000000000000 |
| 15 | 5 | 11 | 19.467922333931785 |
| 15 | 5 | 12 | 18.867962264113206 |
| 15 | 6 | 8 | 21.400934559032695 |
| 15 | 6 | 9 | 21.000000000000000 |
| 15 | 6 | 10 | 20.542638584174139 |
| 15 | 6 | 11 | 20.024984394500787 |
| 15 | 6 | 12 | 19.442222095223581 |
| 15 | 7 | 8 | 22.000000000000000 |
| 15 | 7 | 9 | 21.610182784974310 |
| 15 | 7 | 10 | 21.166010488516726 |
| 15 | 7 | 11 | 20.663978319771825 |
| 15 | 7 | 12 | 20.099751242241780 |
| 15 | 8 | 8 | 22.671568097509269 |
| 15 | 8 | 9 | 22.293496809607955 |
| 15 | 8 | 10 | 21.863211109075447 |
| 15 | 8 | 11 | 21.377558326431949 |
| 15 | 8 | 12 | 20.832666655999660 |
| 15 | 9 | 8 | 23.409399821439251 |
| 15 | 9 | 9 | 23.043437243605826 |
| 15 | 9 | 10 | 22.627416997969522 |
| 15 | 9 | 11 | 22.158519806160339 |
| 15 | 9 | 12 | 21.633307652783937 |
| 15 | 10 | 8 | 24.207436873820409 |
| 15 | 10 | 9 | 23.853720883753127 |
| 15 | 10 | 10 | 23.452078799117150 |
| 15 | 10 | 11 | 23.000000000000000 |
| 15 | 10 | 12 | 22.494443758403985 |