The formula to calculate the Short Edge of Parallelogram given Diagonals and Long Edge is:
eShort=√d2Long+d2Short−(2⋅e2Long)2
The Short Edge of a Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram. The Long Diagonal of a Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram. The Short Diagonal of a Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram. The Long Edge of a Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Let's assume the following values:
Using the formula:
eShort=√182+92−(2⋅122)2=7.64852927038918
The Short Edge of the Parallelogram is 7.64852927038918 meters.
Long Diagonal (meters) | Short Diagonal (meters) | Long Edge (meters) | Short Edge (meters) |
---|---|---|---|
16 | 9 | 12 | 4.949747468305833 |
16.5 | 9 | 12 | 5.711829829397931 |
17 | 9 | 12 | 6.403124237432849 |
17.5 | 9 | 12 | 7.044501401802686 |
18 | 9 | 12 | 7.648529270389178 |
18.5 | 9 | 12 | 8.223442101699263 |
19 | 9 | 12 | 8.774964387392123 |
19.5 | 9 | 12 | 9.307255234493143 |
20 | 9 | 12 | 9.823441352194250 |