# Interactive Parallelogram

x-min= x-max=
y-min= y-max=
A =
B =
C =

## Interactive parallelogram

Move the points in the grafic or define the point coordinates in the numeric field.

### 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:

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

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