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

Answer 1

#b=7.84#

#Area=ab sin theta# where #a# and #b# are the sides and #theta# is the angle #Area=24#; #a=8#;#theta=pi/8#;we have to find #b=?# Hence we get #24=8bsin(pi/8)# #bsin(pi/8)=24/8# or #b sin(pi/8)=3# or #b(0.383)=3# or #b=7.84#

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Answer 2

Sadie Allen

The lengths of the other two sides of the parallelogram are 6.

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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.