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.)

kittykat Dec 19, 2023

#1**+1 **

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

.

CPhill Dec 20, 2023

#2**0 **

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

Iwillsueyou69420 Dec 20, 2023