# Triangle A has an area of #5 # and two sides of lengths #9 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #9 #. What are the maximum and minimum possible areas of triangle B?

There are two possible cases as follows

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The maximum possible area of triangle B occurs when it is similar to triangle A with its side length equal to 9. Therefore, the maximum possible area of triangle B is 5.

The minimum possible area of triangle B occurs when it is similar to triangle A with its side length equal to 3. Therefore, the minimum possible area of triangle B is (\frac{1}{9}) times the area of triangle A, which equals (\frac{1}{9} \times 5 = \frac{5}{9}).

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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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