Two opposite sides of a parallelogram each have a length of #8 #. If one corner of the parallelogram has an angle of #( pi)/3 # and the parallelogram's area is #96 #, how long are the other two sides?

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Answer 1 · 2018-05-22T09:28:30

Other two parallel sides are # color(brown)(= 13.86# units each

Area of parallelogram #A_p = a b sin theta#

Given : #a = 8, theta = pi/3, A_p = 96, b = ?#

#b = A_p / (a sin theta)#

#b = 96 / (8 * sin (pi/3)#

#b = 8 sqrt3 = color(brown)(13.86# units