# Triangle A has sides of lengths #60 #, #42 #, and #54 #. Triangle B is similar to triangle A and has a side of length #7 #. What are the possible lengths of the other two sides of triangle B?

Possible lengths of two triangles are

Case 1 :

Case 2 :

Case 3 :

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Using the concept of similarity between triangles, the ratios of corresponding sides in similar triangles are equal.

For triangle ( A ), the side lengths are given as 60, 42, and 54.

Let's denote the sides of triangle ( B ) as ( x ) and ( y ). Since triangle ( B ) is similar to triangle ( A ), the ratio of corresponding sides must be equal.

The ratio of the corresponding sides between ( A ) and ( B ) is as follows:

[ \frac{x}{60} = \frac{7}{42} = \frac{y}{54} ]

From the given ratios, we can solve for ( x ) and ( y ):

[ x = \frac{7}{42} \times 60 ] [ y = \frac{7}{42} \times 54 ]

Solving these equations gives the possible lengths of the sides of triangle ( B ):

[ x = 10 ] [ y = 9 ]

So, the possible lengths of the other two sides of triangle ( B ) are 10 and 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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