# Triangle A has sides of lengths #1 ,4 #, and #4 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?

The possible lengths of the DEF triangle are

Since the two triangles are similar, their corresponding sides are proportional. Let the two triangles be ABC & DEF.

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Since triangle B is similar to triangle A, the corresponding sides of the two triangles are proportional. Let the sides of triangle B be ( x ) and ( y ).

The ratio of corresponding sides of similar triangles is the same:

[ \frac{x}{1} = \frac{y}{4} = \frac{3}{4} ]

From the given information, we know that the length of one side of triangle B is 3 units. Therefore:

[ \frac{x}{1} = \frac{3}{4} ]

Solving for ( x ):

[ x = \frac{3}{4} \times 1 = \frac{3}{4} ]

Now, we can find the length of the other side of triangle B:

[ \frac{y}{4} = \frac{3}{4} ]

Solving for ( y ):

[ y = \frac{3}{4} \times 4 = 3 ]

So, the possible lengths of the other two sides of triangle B are both 3 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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