To find the scale factor between the two triangles, you can use the formula for scale factor, which is the ratio of the lengths of corresponding sides.
In this case, the hypotenuse of the first triangle is 2 cm, and the hypotenuse of the final triangle is 1.8 cm. The scale factor can be calculated as follows:
\[ \text{Scale Factor} = \frac{\text{Length of the hypotenuse of the final triangle}}{\text{Length of the hypotenuse of the original triangle}} \]
Substituting the values:
\[ \text{Scale Factor} = \frac{1.8 , \text{cm}}{2 , \text{cm}} = 0.9 \]
Thus, the scale factor is \(0.9\). This means that the final triangle is 90% the size of the original triangle.