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To find the scale factor between the two right triangles, we compare the lengths of corresponding sides.

In the left triangle:
- One side is 5 units.
- The other side is also 5 units.

In the right triangle:
- One side is 16 units.
- The other side is also 16 units.

The scale factor can be found by taking the ratio of corresponding sides. Since the corresponding sides are both \( 5 \) and \( 16 \), we calculate:

\[
\text{Scale Factor} = \frac{16}{5}
\]

Thus, the scale factor is \( \frac{16}{5} \).

Would you like further clarification or details?

Here are 5 related questions to extend your understanding:
1. What happens to the area of a shape when the scale factor is applied?
2. How do you find the scale factor if given non-corresponding sides?
3. Can a triangle have a scale factor of 1? What does that imply?
4. How would the hypotenuse change with this scale factor?
5. How can you check if two triangles are similar based only on angles?

**Tip:** When working with scale factors, always compare corresponding sides, and ensure the order of sides is maintained!

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 fraction in simplest form.

Learn how to find the scale factor between two similar right triangles by comparing corresponding sides. In this problem, both triangles share the same angles and have sides 5 and 16 units long. Suitable for students in Grades 6-8.

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