Question

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

Answer 1

Write out the sides of the given triangles

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}`