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

From the image:

• The left triangle has sides of length 8.
• The right triangle has sides of length 10.

The scale factor is the ratio of corresponding sides from the right triangle to the left triangle. We take one pair of corresponding sides and compute the ratio.

$\text{Scale factor} = \frac{10}{8} = \frac{5}{4}$

So, the scale factor is 5/4.

Would you like a further breakdown of this process? Also, here are 5 related questions:

1. How do you find the scale factor between two shapes?
2. What is the significance of simplifying ratios?
3. Can the scale factor ever be less than 1, and what would that imply?
4. What happens to the area of a shape if you scale it by a certain factor?
5. How do scale factors apply in real-world problems, like maps or models?

Tip: When comparing figures, always check that all sides correspond to ensure you have the correct ratio.