To determine the scale factor that Kay used, you would need to compare the lengths of a corresponding side of the original triangle with the lengths of the corresponding side of the new triangle.
The scale factor is calculated by dividing the length of a side in the new triangle by the length of the corresponding side in the original triangle.
For example, if one side of the original triangle is 5 cm and the corresponding side in the new triangle is 15 cm, the scale factor would be:
\[ \text{Scale Factor} = \frac{\text{New Triangle Side Length}}{\text{Original Triangle Side Length}} = \frac{15}{5} = 3 \]
If you provide the lengths of the sides of both triangles, I can help you find the exact scale factor. If the measurements do not correspond as provided, the correct scale factor can also be determined accordingly.