The perimeter of a triangle is an integer. If one side of the triangle is $1$, then what is the smallest possible value of the perimeter? (Assume that the triangle is non-degenerate.)
The smallest perimeter is 3
We could have
a , b ,c
Where b = 1
a < 1
c > 1
Where a + c = 2 , a > .50 , c < 1.5
For example
a = .75
b = 1
c =1.25
.
i would say it couldn't be 2, as one side would be more than 1/2 of the whole perimeter, so it must be 3