Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #36 #, how long are the other two sides?

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Answer 1 · 2018-06-28T14:13:52

Other two sides are #color(brown)(5.6# units each.

Area of parallelogram #A_p = l b sin theta #

Given #l = 9, theta = (3pi)/4, b = ?#

# b = A_p / (l sin theta) = 36 / (9 * sin ((3pi)/4)#

#b ~~ 5.66# units.