Using triangle concepts, it is found that the length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.
In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.
Considering 6 inches and 9 inches the smallest sides:
[tex]x < 6 + 9[/tex]
[tex]x < 15[/tex]
Considering 9 inches as the greater side:
[tex]x + 6 > 9[/tex]
[tex]x > 9 - 6[/tex]
[tex]x > 3[/tex]
The length of the third side of Damaris’s triangle could be any value greater than 3 inches and less than 15 inches.
A similar problem is given at https://brainly.com/question/24175053
