Answer:
The possible range of values for F are from 8 to 30
Step-by-step explanation:
Here, we have a triangle DEF and we want to get the possible lengths of the third side
To evaluate the possible lengths of the third side , we need to follow a rule
The rule is that, for the third side, the sum of the two other sides must be greater than it
This means that the length should be less than d + e
Mathematically;
f < d + e
f < 12 + 19
f < 31
So it could be 30
It could also range from 30 to 8
This is because if it is less than 8, then the addition to 12 will be less than or equal to 19