Question

What is the range of possible sizes for side x?

Answer 1

`4<x<12`

Explanation:

If a, b, c are three sides of the triangle, then

`a+b>c\\ \\a+c>b\\ \\b+c>a`

In your case, two sides have measures of 4 units and 8 units, then

`4+8>x\\ \\4+x>8\\ \\8+x>4`

Hence,

`12>x\\ \\x>4\\ \\x>-4`

Therefore,

`4<x<12`