Question

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

Answer 1

Answer:

The solution for the other side length is the interval

(2.5,6.5)

Step-by-step 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)