Answer:
The Range of possible measures for the third side is; 2 < C < 16
Step-by-step explanation:In a triangle with sides A , B and C , the sum of the length of any two sides of a triangle must be greater than the third side:
A+B>C
B+C>A
A+C>B
Given the two sides of a triangle are 7 and 9.
Let A = 7 and B = 9 then;
B-A< C < A+B
Then; the range of C can be:
9-7 < C < 7+9
Simplify:
2 < C < 16
Therefore, the range of possible measures for the third side is; 2 < C < 16
