Two opposite sides of a parallelogram each have a length of #24 #. If one corner of the parallelogram has an angle of #(11 pi)/12 # and the parallelogram's area is #72 #, how long are the other two sides?

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Answer 1 · 2018-05-22T06:40:32

Length of other two parallel sides #b = color(orange)(b = 7.73# units#

Area of parallelogram #A_p = a b sin theta#

Given : #a = 24, A_p = 72, theta = (11pi)/12, b = ?#

#b = A_p / (a sin theta)#

#b = 72 / (36 * sin ((11pi)/12)#

#color(orange)(b = 7.73# units