Two opposite sides of a parallelogram each have a length of #6 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #48 #, how long are the other two sides?

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Answer 1 · 2018-02-10T10:11:04

Other two parallel sides measure #color(purple)(8.66)# each

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Area of parallelogram #A-p = b * h = b * a sin theta#

#a = A_p / (b * sin theta) = 48 / (6 * sin ((3pi)/8) = color(purple)(8.66)#