Question

give two sides of the triangle find a range of possible lengths for the third side.16 km 17 km

Answer 1

SOLUTION

Write out the sides of the given triangles

$\begin{gathered} 16\operatorname{km} \\ \text{and } \\ 17\operatorname{km} \end{gathered}$

To find the two possibles length of the third side, we apply the rule

$\begin{gathered} \text{give two sides a,b of a triangle, the third sides will fall within the range of } \\ \text{ difference>x>sum } \\ a-b>x>a+b \end{gathered}$

Applying the rule above, we have

$\begin{gathered} 17-16>x>17+16 \\ 1>x>33 \end{gathered}$