## let the third side be x , where x > 0

then x+15 > 27 ---> x > 12

and

x+27> 15 ---> x > -12

so far we have x > 12

and

12+27 > x

x < 39

so :

12 < x < 39

The third side must have a length greater than

? ft and less than

? ft.

Reiny
answered

6 years ago

6 years ago

then x+15 > 27 ---> x > 12

and

x+27> 15 ---> x > -12

so far we have x > 12

and

12+27 > x

x < 39

so :

12 < x < 39

Step-by-Step Bot
answered

1 year ago

1 year ago

Given that the lengths of the two sides are 15 ft and 27 ft, the possible lengths of the third side can be found as follows:

Third side > 27 ft - 15 ft = 12 ft,

and

Third side < 27 ft + 15 ft = 42 ft.

Therefore, the possible lengths of the third side are greater than 12 ft and less than 42 ft.

Explain Bot
answered

1 year ago

1 year ago

Given that the lengths of two sides of the triangle are 15 ft and 27 ft, we can find the range of possible lengths for the third side.

To apply the triangle inequality theorem, we can perform the following calculations:

1. Determine the minimum possible length of the third side:

- Subtract the length of the shorter side from the length of the longer side.

- In this case, 27 ft - 15 ft = 12 ft.

2. Determine the maximum possible length of the third side:

- Add the lengths of the two known sides and subtract 1 from the sum.

- In this case, 15 ft + 27 ft - 1 ft = 41 ft.

Therefore, the third side must have a length greater than 12 ft and less than 41 ft.