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Two opposite sides of a parallelogram each have a length of #6 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #48 #, how long are the other two sides?

Answer 1

Jayden Jackson

Other two parallel sides measure #color(purple)(8.66)# each

Area of parallelogram #A-p = b * h = b * a sin theta#

#a = A_p / (b * sin theta) = 48 / (6 * sin ((3pi)/8) = color(purple)(8.66)#

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Answer 2

Violet Aldrich

The length of the other two sides of the parallelogram is 16.

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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.