Two opposite sides of a parallelogram each have a length of #12 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #24 #, how long are the other two sides?

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Answer 1 · 2018-01-08T05:21:45

Other two parallel sides are #color(red)(2.1648)# long

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Given #A_p = 24, b = 12, theta = (3pi)/8#

To find ‘a’ the other two parallel sides.

Area of the parallelogram #A_p = b * h#

#h = 24 / 12 = 2#

#a = h / sin theta = 2 / sin ((3pi)/8) = 2.1648#

Other two parallel sides are 2.1648 long