# Triangle A has sides of lengths #24 #, #15 #, and #21 #. Triangle B is similar to triangle A and has a side of length #24 #. What are the possible lengths of the other two sides of triangle B?

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Given :Triangle A (

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Then using similar triangles property,

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Case 2 :

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To find the possible lengths of the other two sides of Triangle B, we need to use the concept of similarity between triangles. Since Triangle B is similar to Triangle A, their corresponding sides are in proportion.

Let's denote the lengths of the sides of Triangle B as x and y. According to the given information, the side lengths of Triangle A are 24, 15, and 21, and the corresponding side of Triangle B is 24.

Using the property of similarity, we can set up the proportion: ( \frac{x}{24} = \frac{15}{24} ) ( \frac{y}{24} = \frac{21}{24} )

Solving for x and y: ( x = \frac{15}{24} \times 24 ) ( y = \frac{21}{24} \times 24 )

( x = 15 ) and ( y = 21 )

Therefore, the possible lengths of the other two sides of Triangle B are 15 and 21.

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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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