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The ratio of the side lengths of 2 similar triangles is 3:5. The smaller triangle has sides that measure 5 centimeters, 7 centimeters, and 9 centimeters. What is the perimeter, in centimeters, of the larger triangle?Responses1235123512 and 3 fifths212121353535636363105

Question

The ratio of the side lengths of 2 similar triangles is 3:5. The smaller triangle has sides that measure 5 centimeters, 7 centimeters, and 9 centimeters. What is the perimeter, in centimeters, of the larger triangle?Responses1235123512 and 3 fifths212121353535636363105

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Solution 1

The question seems to be a bit jumbled, but I believe you're asking for the perimeter of the larger triangle given that the ratio of the side lengths of two similar triangles is 3:5 and the smaller triangle has sides that measure 5 cm, 7 cm, and 9 cm.

Here's how you can solve it:

  1. First, understand that similar triangles have proportional sides. This means that the ratio of corresponding sides is the same. In this case, the ratio is 3:5.

  2. Next, calculate the perimeter of the smaller triangle by adding up its side lengths: 5 cm + 7 cm + 9 cm = 21 cm.

  3. Now, to find the perimeter of the larger triangle, you need to scale up the perimeter of the smaller triangle by the ratio of the side lengths. Since the ratio is 3:5, you divide 5 by 3 to get the scale factor: 5/3 = 1.67 (approximately).

  4. Finally, multiply the perimeter of the smaller triangle by the scale factor to get the perimeter of the larger triangle: 21 cm * 1.67 = 35.07 cm.

So, the perimeter of the larger triangle is approximately 35.07 cm.

This problem has been solved

Solution 2

I'm sorry, but your question seems to be incomplete or not clear. Could you please provide more details or clarify it?

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