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Area of a parallelogram without height.

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1.  The area of a parallelogram if you know sides and angle

area parallelogram

 

a , b -  sides

alpha red , beta green -  angles

 

 

Formula for the area of a parallelogram when side and angle are given ( A ) :

area parallelogram F1      area parallelogram F2

 

 

2.  How to find the area of a parallelogram if you know side(base) and height

 

area parallelogram height

a , b -  sides - base

   Ha- height  measured at right angles to the side  

   Hb- height  measured at right angles to the side

 

Formula for the Area of a parallelogram if given side and height ( A ) :

area parallelogram height Fa      area parallelogram height Fb

 

 

3.  The area of a parallelogram if you know diagonals and angle between them  

area parallelogram diagonal

 

DD blue , d blue   -  diagonals

alpha red , beta green -  angles between the diagonals

 

 

Formula for the Area of a parallelogram with diagonals and angle between them ( A ) :

area parallelogram diagonal F1    area parallelogram diagonal F2