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To find the scale factor between the two triangles, we can compare corresponding sides of the triangles. The larger triangle has side lengths of 11 and 11, while the smaller triangle has side lengths of \( \frac{11}{3} \) and \( \frac{11}{3} \).

The scale factor is the ratio of corresponding side lengths. Let's compare the side lengths:

\[
\text{Scale factor} = \frac{\frac{11}{3}}{11} = \frac{11}{3} \times \frac{1}{11} = \frac{1}{3}
\]

Thus, the scale factor is \( \frac{1}{3} \).

Would you like more details or have any questions?

Here are some related questions:
1. How does a scale factor affect the area of a figure?
2. What is the scale factor if the smaller triangle is enlarged to match the larger one?
3. How do you calculate the perimeter of similar triangles when given the scale factor?
4. What other properties remain the same when two triangles are similar?
5. Can you have a negative scale factor in geometry, and what would it mean?

**Tip**: When working with scale factors, remember that any linear measurement (like side length) scales directly by the factor, while area scales by the square of the factor.

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Understand how to calculate the scale factor between two similar right triangles. The problem involves using proportions of corresponding side lengths, and the solution is expressed as a fraction in simplest form. Suitable for students in Grades 7-9.

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