# A parallelogram has sides with lengths of #15 # and #8 #. If the parallelogram's area is #24 #, what is the length of its longest diagonal?

Length of longer diagonal is

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The length of the longest diagonal of the parallelogram can be found using the formula ( \text{Diagonal} = \sqrt{(a^2 + b^2)} ), where ( a ) and ( b ) are the lengths of the sides of the parallelogram. In this case, ( a = 15 ) and ( b = 8 ). Plugging these values into the formula gives:

( \text{Diagonal} = \sqrt{(15^2 + 8^2)} ) ( \text{Diagonal} = \sqrt{(225 + 64)} ) ( \text{Diagonal} = \sqrt{289} ) ( \text{Diagonal} = 17 )

Therefore, the length of the longest diagonal of the parallelogram is 17 units.

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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.

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