Answer:
11
Step-by-step explanation:
When the angle is greater, it's opposite length is greater
angle A > angle B > angle C
Implies,
BC > AC > AB
n + 30 > 2n + 15 > 3n
n + 30 > 2n + 15
n < 15 (1)
2n + 15 > 3m
n < 15 (2)
Also, the longest side of the triangle should be less than the sum of two shorter sides:
BC < AC + AB
n + 30 < (2n + 15) + 3n
n + 30 < 5n + 15
4n > 15
n > 3.75
n can be any integer betwee 4 and 14, inclusive.
Which are 11 possible values
