To find the scale factor between two similar shapes, you can divide the length of a side of one shape by the corresponding length of a side of the other shape.
In this case, you have the side lengths of two equilateral triangles:
- Length of the triangle on the right: 20.8 inches
- Length of the triangle on the left: 32 inches
To find the scale factor from the triangle on the right (20.8 inches) to the triangle on the left (32 inches), you can use the following formula:
\[ \text{Scale Factor} = \frac{\text{Length of triangle on the left}}{\text{Length of triangle on the right}} = \frac{32}{20.8} \]
Now, calculate the scale factor:
\[ \text{Scale Factor} = \frac{32}{20.8} \approx 1.5385 \]
Thus, the scale factor to go from the triangle on the right to the triangle on the left is approximately 1.54.