Question

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side 14 and 22 (let x= the third side)

Answer 1

Given:

The two sides of the triangle are 14 and 22.

The triangle inequality states that,

Let x denote the measure of the third side.

The possible value of the third side is,

$\begin{gathered} 14+22>x \\ 36>x \\ \Rightarrow x<36 \end{gathered}$

Also,

$\begin{gathered} 22-148 \end{gathered}$

It gives the range of the third side is,

[tex]8