# Triangle A has sides of lengths #54 #, #44 #, and #64 #. 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?

Since the triangles are similar then the ratios of corresponding sides are equal.

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Since triangle B is similar to triangle A, the ratio of corresponding sides of triangles A and B must be the same. Let x be the length of one of the other two sides of triangle B. Using the ratio of corresponding sides:

[ \frac{x}{54} = \frac{8}{44} ]

Solving for x gives:

[ x = \frac{8 \times 54}{44} = \frac{432}{44} = 9 ]

Therefore, one of the other two sides of triangle B is 9 units long.

Using the same ratio, we can find the length of the third side:

[ \frac{x}{64} = \frac{8}{44} ]

Solving for x gives:

[ x = \frac{8 \times 64}{44} = \frac{512}{44} = 11.64 ]

Therefore, the possible lengths of the other two sides of triangle B are approximately 9 units and 11.64 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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