Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
