Question

The length of two sides of a triangle are $13cm$ and $18cm$. Between what two measures should the length of the third side fall?

Answer 1

Let $\text{'}x\text{'}cm$ be the length of the third side,

Thus, $13+18>x,x+13>18$ and $x+18>13$

$\Rightarrow 31>x,x>5$and $x>-5$

The number between $5$ and $31$ satisfy these.

Hence, the length of the third side could be any length between $5cm$and $31cm$.