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

Question 1205186: The diagonals of a parallelogram are 6cm and 8cm long and they intersect at an angle of 55°. Calculate the area of the parallogram.
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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The diagonals of a parallelogram are 6cm and 8cm long and they intersect
at an angle of 55°. Calculate the area of the parallogram.
~~~~~~~~~~~~~~~~~

In this parallelogram, the diagonals divide/separate it in 4 (four) triangles.


Two of these 4 triangles are congruent and have the sides 3= 6/2 meters and 4= 8/2 meters
with the concluded angle of 55°.


Two other of these 4 triangles are congruent and have the sides 3= 6/2 meters and 4= 8/2 meters
with the concluded angle of 180° - 55° = 125°.


Therefore, the area of this parallelogram is


     = 3*4*0.81915204428 + 3*4*0.81915204428 = 19.65964906 (rounded).  ANSWER

Solved.

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