Answer:
The length of the third side could be greater than 3 units and less than 15 units.
Step-by-step explanation:
If a, b and c are three sides of the triangle, then
- [tex]a+b>c;[/tex]
- [tex]a+c>b;[/tex]
- [tex]b+c>a.[/tex]
Since one side has a length of 9 units and another side has a length of 6 units, you have
[tex]9+6>c,\\ \\9+c>6,\\ \\6+c>9.[/tex]
Hence, you get
[tex]c<15,\\ \\c>-3,\\ \\c>3.[/tex]
Altogether,
[tex]3<c<15.[/tex]
The length of the third side could be greater than 3 units and less than 15 units.
