Question

When you have two side lengths of 2in and 4.5in What is the other side length?

Answer 1

The solution for the other side length is the interval

(2.5,6.5)

Explanation:

I will assume that is a triangle

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x ---> the measure of the third side

Applying the Triangle Inequality Theorem

1)
`2+4.5 > x`

`6.5 > x`

Rewrite

`x < 6.5\ in`

2)
`2+x> 4.5`

`x> 2.5\ in`

therefore

The solution for the other side length is the interval

(2.5,6.5)