Question

Triangle ABC above has side a = 1 and side c = 2. What constraints does the triangle inequality theorem put on side b?

Answer 1

`3 > b`

Explanation:

Given

`a = 1`

`c = 2`

Required

Inequality to measure the length of b

The triangle inequality theorem states that:

`a + b > c`

`a + c > b`

`b + c > a`

On side b, we make use of:

`a + c > b`

Substitute values for a ad c

`1 + 2 > b`

`3 > b`

The inequality is:
`3 > b`