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

 

length sides parallelogram D

     a    - smaller  side

     b    - larger  side

    DD blue , d blue      -  diagonals

    alpha red , beta green     -  angles between the diagonals

 

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

length sides parallelogram D Formula1

length sides parallelogram D Formula2

 

length sides parallelogram D Formula4

length sides parallelogram D Formula3

 

Find length of sides of a parallelogram if given diagonals and other side ( a b ) :

length sides parallelogram D Formula5

length sides parallelogram D Formula6

 

 

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

 

length sides parallelogram H

     alpha red , beta blue     -  angles

     a , b     -  sides

   Ha  - height  measured at right angles to the base  

   Hb green  - height  measured at right angles to the base  

 

Find sides of a parallelogram if given angle and height ( a b ) :

length sides parallelogram H Formula1

length sides parallelogram H Formula2