To determine the range of possible values for the third side of a triangle with sides of *9yd and 32yd you have to apply the triangle inequality theorem
This theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third one.
For example, for the triangle ABC
[tex]AB+BC>CA[/tex]
If AB=9yd and BC=32yd, then the range for CA is
[tex]\begin{gathered} 9+32>CA \\ 41>CA \end{gathered}[/tex]
The third side of the triangle must be 41yd or less.
