To find the scale factor between the two triangles, you divide the length of the hypotenuse of the first triangle by the length of the hypotenuse of the second triangle.
Given:
- Length of the hypotenuse of the first triangle = 11 cm
- Length of the hypotenuse of the second triangle = 3.3 cm
Scale factor = \( \frac{\text{Length of hypotenuse of the first triangle}}{\text{Length of hypotenuse of the second triangle}} \)
\[ \text{Scale factor} = \frac{11 , \text{cm}}{3.3 , \text{cm}} = \frac{11}{3.3} \]
Calculating \( \frac{11}{3.3} \):
\[ \frac{11}{3.3} = \frac{11 \times 10}{3.3 \times 10} = \frac{110}{33} = \frac{110 \div 11}{33 \div 11} = \frac{10}{3} \approx 3.33 \]
Therefore, the scale factor is approximately 3.33.