# A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #36 #, what is the length of its longest diagonal?

There is a specific formula for this that can be derived from trigonometric theorems

In this case:

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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.

- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #5 # and sides C and D have a length of # 8 #. If the angle between sides A and C is #(3 pi)/8 #, what is the area of the parallelogram?
- Two opposite sides of a parallelogram each have a length of #10 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #30 #, how long are the other two sides?
- A parallelogram has sides with lengths of #9 # and #8 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?
- A parallelogram has sides A, B, C, and D. Sides A and B have a length of #2 # and sides C and D have a length of # 9 #. If the angle between sides A and C is #(7 pi)/18 #, what is the area of the parallelogram?
- Two opposite sides of a parallelogram each have a length of #2 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #12 #, how long are the other two sides?

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