Two opposite sides of a parallelogram each have a length of #2 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #24 #, how long are the other two sides?

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Answer 1 · 2017-11-08T12:06:41

Other two sides are #12.99(2dp)# unit each.

The corner angle is #/_theta= (5pi)/8=(5*180)/8 =112.5#

Let the adjacent sides are #s_1=2 and s_2=?#

Area of the parallelogram is #A_p=24#

We know #A_p= s_1*s_2*sin theta or 24=2*s_2*sin112.5#

#s_2= 24/(2*sin112.5) ~~12.99(2dp)# unit

Other two sides are #12.99(2dp)# unit each [Ans]