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The question asks to identify the scale factor between two right triangles. The right triangle on the right is a scaled copy of the one on the left. 

Here are the dimensions:
- The left triangle has both sides measuring 6 units.
- The right triangle has a side labeled as \( \frac{15}{2} \) (which equals 7.5 units).

To find the scale factor, we compare corresponding sides of the triangles:

\[
\text{Scale factor} = \frac{\text{Side of right triangle}}{\text{Side of left triangle}} = \frac{7.5}{6}
\]

Simplifying this:

\[
\frac{7.5}{6} = \frac{15}{12} = \frac{5}{4}
\]

So, the scale factor is \( \frac{5}{4} \).

Would you like more details on scaling, or have any questions?

Here are 5 related questions:
1. What happens to the area of a triangle when it is scaled by a factor?
2. How do you scale a triangle down instead of up?
3. What is the perimeter of the larger triangle if the original is known?
4. Can you find the scale factor using angles, or is it only based on sides?
5. How does the Pythagorean theorem relate to scaling triangles?

**Tip:** Always ensure corresponding sides are compared when calculating scale factors between similar shapes.

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.

This problem involves identifying the scale factor between two similar right triangles. Using the given sides of 6 and 7.5 units, students learn to apply the formula for scale factors and simplify their answers. Suitable for students in Grades 7-9 studying proportions and geometry.

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