# A parallelogram has sides with lengths of #14 # and #8 #. If the parallelogram's area is #16 #, what is the length of its longest diagonal?

Length of longer diagonal is

We know the area of the parallelogram as

Longer diagonal can be found by applying cosine law:

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The length of the longest diagonal of the parallelogram is 10.

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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.

- Two opposite sides of a parallelogram each have a length of #4 #. If one corner of the parallelogram has an angle of #(5 pi)/8 # and the parallelogram's area is #24 #, how long are the other two sides?
- ABCD is a trep. with AB//DC and AD = BC. If AD is parallel to CE and angle A is 70 degrees.Find all the angles ? Diagram is given below.
- 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 #30 #, how long are the other two sides?
- Two rhombuses have sides with lengths of #7 #. If one rhombus has a corner with an angle of #pi/4 # and the other has a corner with an angle of #(pi)/4 #, what is the difference between the areas of the rhombuses?
- A parallelogram has sides with lengths of #16 # and #15 #. If the parallelogram's area is #8 #, what is the length of its longest diagonal?

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