Two opposite sides of a parallelogram each have a length of #2 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #12 #, how long are the other two sides?

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Answer 1 · 2018-05-16T15:33:51

Length of the other two sides #color(maroon)(= 6.49# units

Given : #a = 2, theta = (5pi)/8, Area = A_p = 12#

#A_p = a b sin theta#

#b = (A_p/ (a * sin theta))#

#b = 12 / (2 sin ((5pi)/8) ) =color(maroon)( 6.49# units