Final answer:
To find the length of the corresponding side of Triangle B with a scale factor of 1/3 from Triangle A whose bottom side is 9, multiply 9 by the scale factor, resulting in a side length of 3 units for Triangle B.
Step-by-step explanation:
The question involves finding the length of the corresponding side of Triangle B when the scale factor from Triangle A to Triangle B is 1/3 and the length of the bottom side of Triangle A is 9. To find this length, you need to multiply the length of the side of Triangle A by the scale factor.
First, write the scale factor: scale/actual = 1/3.
Next, calculate the scaled side length: 9 × (1/3) = 3.
Therefore, the corresponding side length of Triangle B is 3 units.