Answer:
4
Explanation:
For a triangle to exist:
A + B > C
B + C > A
A + C > B
We know already...
A = 13
B = 16
C = ?
Using the rules,
B + C > A
16 + C > 13
^ This won't tell us what C is because C would be 0 and obviously that wouldn't work for a triangle.
We'll try a different rule...
A + C > B
13 + C > 16
So, C would be 4. Because that's the smallest whole number that makes the equation true.
(Let's double check with all our rules to make sure it works for all of them)
A + B > C
13 + 16 > 4 <--True
B + C > A
16 + 4 > 13 <-- True
And we already did the last one, so we don't need to check that one.
So, C is equal to 4.