if you have two similar triangles and the scale factor is 3:5 and 12 times square root of 3 is one side, what is the cooresponding side

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To find the corresponding side in the second triangle, we can use the concept of scale factor. The scale factor represents the ratio of the corresponding side lengths of similar figures. In this case, the scale factor is given as 3:5, meaning that every corresponding side in the first triangle is multiplied by 3/5 to get the corresponding side in the second triangle.

Let's denote the given side length in the first triangle as s1. According to the scale factor, the corresponding side length in the second triangle, s2, can be found using the formula:

s2 = (3/5) * s1

Now let's substitute the given value into the formula:

s2 = (3/5) * 12√3

To simplify this expression, we can multiply the fraction by the whole number:

s2 = (36√3/5)

Therefore, the corresponding side length in the second triangle is 36√3/5.