SOLUTION: the diagonals of a parallelogram are 6cm and 8cm long and they intersect at angle 55 degree. Calculate the area of the parallelogram.

Algebra ->  Parallelograms -> SOLUTION: the diagonals of a parallelogram are 6cm and 8cm long and they intersect at angle 55 degree. Calculate the area of the parallelogram.      Log On


   

Question 985720: the diagonals of a parallelogram are 6cm and 8cm long and they intersect at angle 55 degree. Calculate the area of the parallelogram.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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S = %281%2F2%29%2Ad%5B1%5D%2Ad%5B2%5D%2Asin%28delta%29

     The area of a parallelogram equals half the product of the measures of its                             
     diagonals d%5B1%5D  and  d%5B2%5D  and the sines of the angle between them.



See the lesson  Area of a parallelogram  in this site.

So,  in our case   S = 1%2F2*6*8*sin(55°) = 24*sin(55°).

Calculate it yourself,  please.