The diagonal of a parallelogram are 6cm and 8cm long and they intersect at an angle of 55°.calculate the area if the parallelogram

Answer 1

The diagonals of a parallelogram bisect each other and form 4 triangles of equal area
So looking at one these:
area of triangle = (1/2)(3)(4)sin55° = 4.9149...
So the area of the parallelogram is 4(4.9149..) = appr 19.66 cm^2