Two opposite sides of a parallelogram each have a length of #36 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #144 #, how long are the other two sides?

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Answer 1 · 2018-05-22T06:34:51

Lengths of other two parallel sides #color(indigo)(b = 4.14# units

Area of parallelogram #A_p = a b sin theta#

Given : #a = 36, theta = (5pi)/12, A_p = 144, b = ?#

#b = 144 / (36 * sin ((5pi)/12))#

#color(indigo)(b = 4.14# units