Parallelogram

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Parallelogram formulas

Angles

`\alpha+\beta = 180° ` (supplementary angles)

Height

`h=b*sin(\alpha)=b*sin(\beta)`

Diagonals

`d_1=sqrt(a^2+b^2+2*a*b*cos(\alpha))=sqrt(a^2+b^2-2*a*b*cos(\alpha))`

`d_2=sqrt(a^2+b^2-2*a*b*cos(\alpha))=sqrt(a^2+b^2+2*a*b*cos(\alpha))`

`d_1^2+d_2^2 = 2*(a^2+b^2)`

Area

`A=a*b*sin(\alpha)=a*b*sin(\beta)`

Perimeter

`P = 2*(a+b)`