Answer:
The length of the third side could be all real numbers greater than 2 units and less than 16 units
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
so
Applying the triangle inequality theorem
Let
x ------> the length of the third side
we have
First case
1) 7+9 > x
16 > x
Rewrite
x< 16 units
Second case
2) 7+x > 9
x > 9-7
x > 2 units
therefore
The solution for the third side is the interval
(2,16)
All real numbers greater than 2 units and less than 16 units
