1.  Sides of a parallelogram if you know diagonals and
angle between them or other side
 

length sides parallelogram D

     a    - smaller  side of a parallelogram

     b    - larger  side of a parallelogram

    DD blue , d blue      -  diagonals of a parallelogram

    alpha red , beta green     -  angles between the diagonals

 

Formulas for calculating length of sides of a parallelogram if given diagonals and angle between the diagonals ( a b ) :

length sides parallelogram D F1

length sides parallelogram D F2

 

length sides parallelogram D F4

length sides parallelogram D F3

 

Formulas for calculating length of sides of a parallelogram if given diagonals and other side ( a b ) :

length sides parallelogram D F5

length sides parallelogram D F6

 

 

2.  Sides of a parallelogram if you know angle and
height

length sides parallelogram H

     alpha red , beta blue     -  angles of a parallelogram

     a , b     -  sides of a parallelogram

   Ha  - height  measured at right angles to the side  

   Hb green  - height  measured at right angles to the side  

 

Formulas for calculating sides of a parallelogram if given angle and height ( a b ) :

length sides parallelogram H F1

length sides parallelogram H F2