# Triangle A has sides of lengths #15 #, #12 #, and #18 #. 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?

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Since triangle B is similar to triangle A, their corresponding sides are proportional. Let's denote the lengths of the sides of triangle B as ( x ) and ( y ).

Using the property of similarity, we can set up the following proportion:

[\frac{x}{15} = \frac{3}{12} = \frac{y}{18}]

Solving for ( x ) and ( y ) gives:

[x = \frac{3}{12} \times 15 = \frac{15}{4} = 3.75]

[y = \frac{3}{12} \times 18 = \frac{9}{2} = 4.5]

So, the possible lengths of the other two sides of triangle B are (3.75) and (4.5).

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