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### Properties of the parallelogram

The opposite sides are equal. The opposite sides are parallel. The diagonals halve each other. Opposite angles are equal. Two neighbour angles have in sum 180°.

### Circumference of the parallelogram

With the side length a = AB = CD and b = BC = DA the circumference is given by:

$U=2a+2b$

### Area of the parallelogram

With the side length a and b and the angle α the area is given by:

$F=a\cdot b\cdot \mathrm{sin}\alpha $

### Diagonal length of the parallelogram

With the side length a and b is the length of the diagonals given by:

${d}_{1}=\sqrt{{a}^{2}+{b}^{2}-2ab\mathrm{cos}\left(\alpha \right)}$

${d}_{2}=\sqrt{{a}^{2}+{b}^{2}+2ab\mathrm{cos}\left(\alpha \right)}$