Two opposite sides of a parallelogram each have a length of #32 #. If one corner of the parallelogram has an angle of #(5 pi)/12 # and the parallelogram's area is #140 #, how long are the other two sides?

Answer 1

The other sides are (each) #4.53# units long

(Refer to the above diagram)

#sin((5pi)/12)=h/32#
#rarr h=32sin((5pi)/12)#

#Area = x * h#

Using the given value for the #Area#
#color(white)("XXX")140 = x * 32sin((5pi)/12)#

#color(white)("XXX")rarr x= 140/(32 sin((5pi)/12))~~4.53#

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Answer 2

The lengths of the other two sides of the parallelogram are ( 20 ) units.

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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.

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.

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.

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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