To find the scale factor between two similar triangles, you can use the ratio of their corresponding side lengths.
Given the side lengths of the triangles:
- Left triangle: 23 inches
- Right triangle: 66.7 inches
The scale factor from the left triangle to the right triangle can be calculated as:
\[ \text{Scale Factor} = \frac{\text{Side length of right triangle}}{\text{Side length of left triangle}} = \frac{66.7 \text{ inches}}{23 \text{ inches}} \]
Calculating this gives:
\[ \text{Scale Factor} = \frac{66.7}{23} \approx 2.91 \]
So, the scale factor to go from the triangle on the left to the triangle on the right is approximately 2.91.