# Triangle A has an area of #9 # and two sides of lengths #8 # and #4 #. Triangle B is similar to triangle A and has a side with a length of #8 #. What are the maximum and minimum possible areas of triangle B?

Maximum area 36 and Minimum area 9

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The maximum possible area of triangle B is $36$ square units, and the minimum possible area is $4.5$ square 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.

- A school building has a height of 40 feet. Its shadow is currently 13.5 feet long, and the shadow of the church next door is 20.7 feet long. How would you use similar triangles to calculate the height of the church to the nearest tenth of a foot?
- Triangle A has an area of #6 # and two sides of lengths #5 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #14 #. What are the maximum and minimum possible areas of triangle B?
- Triangle A has an area of #8 # and two sides of lengths #6 # and #3 #. Triangle B is similar to triangle A and has a side with a length of #16 #. What are the maximum and minimum possible areas of triangle B?
- Triangle A has sides of lengths #36 ,24 #, and #16 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the possible lengths of the other two sides of triangle B?
- Delroy’s sailboat has two sails that are similar triangles. The larger sail has sides of 10 feet, 24 feet, and 26 feet. If the shortest side of the smaller sail measures 6 feet, what is the perimeter of the smaller sail?

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