1 answer

Two opposite sides of a parallelogram each have a length of #2 #. If one corner of the parallelogram has

Question:

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?

Answers

#b=8.66#

Explanation:

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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