Question

kathy wants to place a printer 9 ft from the filing cabinet. can the other two distances shown be 7 ft and 2 ft ? identify the answer with the correct explanation.

Answer 1

Yes, the other two distances shown can be 7 ft and 2 ft.

Step-by-step explanation:

Yes, the other two distances shown can be 7 ft and 2 ft.

1. First, determine the total distance between the filing cabinet and the printer: 9 ft.
2. Next, subtract the other two distances from the total distance to check if they add up: 9 ft - 7 ft - 2 ft = 0 ft.
3. Since the result is 0 ft, it means that the other two distances can indeed be 7 ft and 2 ft.

Answer 2

Yes, Kathy can place the printer 9 ft from the filing cabinet with the other two distances being 7 ft and 2 ft.

Step-by-step explanation:

This scenario can be analyzed using the Triangle Inequality, which states:

The sum of any two sides of a triangle must be greater than the third side.

In this case, we have three sides:

Printer to filing cabinet: 9 ft

First distance: 7 ft

Second distance: 2 ft

To ensure a valid triangle, the sum of any two sides must be greater than the remaining side. Let's check each combination:

Printer + first distance: 9 ft + 7 ft = 16 ft (greater than 2 ft)

First distance + second distance: 7 ft + 2 ft = 9 ft (greater than 9 ft)

Printer + second distance: 9 ft + 2 ft = 11 ft (greater than 7 ft)

Therefore, all three combinations satisfy the Triangle Inequality, meaning the three distances can form a valid triangle. So, yes, Kathy can place the printer 9 ft from the filing cabinet with the other two distances being 7 ft and 2 ft.