Parallelogram 6049

Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57° 43'

Correct answer:

S =  3640.2865 cm2

Step-by-step explanation:

a=57 cm u=66 cm B=57+43/60=60346357.7167   sin(B)sin(A)=ua=6657=22190.8636  A=π180°arcsin(ua sin(B° rad))=π180°arcsin(ua sin(B° 180π ))=π180°arcsin(6657 sin(57.716666666667° 1803.1415926 ))=46.89755  C=180(A+B)=180(46.8976+57.7167)75.3858   h=u sinC=u sin75.38578273221° =66 sin75.38578273221° =66 0.967647=63.86468 cm  S=a h=57 63.8647=3640.2865 cm2

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