Question

The lengths of two sides of a triangle are 12 ft and 13 ft. What is the range of possible lengths for the third side?

Answer 1

`(1" ft", 25" ft")`

Explanation:

Since the sum of two sides of a triangle must be greater than the remaining side:

The third side must be greater than `13-12=1` foot, and
the third side must be less than `12+13=25`

Denoting the third side as `s`
`1 < s < 25color(white)("XXX")`or`color(white)("XXX")s in(1,25)`