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Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3 pi)/4 # and the parallelogram's area is #36 #, how long are the other two sides?

Answer 1

Allison Allen

Other two sides are #color(brown)(5.6# units each.

Area of parallelogram #A_p = l b sin theta #

Given #l = 9, theta = (3pi)/4, b = ?#

# b = A_p / (l sin theta) = 36 / (9 * sin ((3pi)/4)#

#b ~~ 5.66# units.

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Answer 2

Carson Arnold

The lengths of the other two sides of the parallelogram are 8 units each.

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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.