# Interactive Trapeze

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

## Interactive trapeze

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

### Trapeze properties

The opposite sides are the same. The opposite sides are parallel. The diagonals halve each other. Opposite angles are equal. Two adjacent angles together result 180 °.

### Trapeze circumference

With the side length a = AB = CD und b = BC = DA result the circumference:

$U=2a+2b$

### Trapeze area

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

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

### Length of the trapeze diagonals

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

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

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