Two opposite sides of a parallelogram each have a length of #2 #. If one corner of the parallelogram has an angle of #(2 pi)/3 # and the parallelogram's area is #15 #, how long are the other two sides?

Answer 1

#b=8.66#

Area of the parallelogram is #=ab sin theta# where #a=2# is the side and #theta=(2pi)/3# and we have to find #b=?# Therefore Area#=15=2b sin((2pi)/3)# or #bsin((2pi)/3)=15/2# or #b(0.866)=7.5# or #b=7.5/0.866# or #b=8.66#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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