Question

Given two sides of a triangle, find a range of possible lengths for the third side.9 yd, 32 yd

Answer 1

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

`AB+BC>CA`

If AB=9yd and BC=32yd, then the range for CA is

`\begin{gathered} 9+32>CA \\ 41>CA \end{gathered}`

The third side of the triangle must be 41yd or less.