Two opposite sides of a parallelogram each have a length of #3 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #45 #, how long are the other two sides?

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Answer 1 · 2018-05-22T03:25:21

Other two sides are #21.213# long each

Given : #a = 3, theta = (3pi)/4, Area = 45, b = ?#

#Area = a b sin theta#

#3 * b * sin ((3pi)/4) = 45#

#b = 45 / (3 * sin ((3pi)/4)#

#b = 45 / (3 * (1/sqrt2))#

#b = 15 sqrt 2 = 21.213#