Question

The two equilateral triangles below are similar (but not drawn to scale). What is the scale factor?

23 inches
66.7 inches
The scale factor to go from the triangle on the left to the triangle on the right is

Answer 1

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**.