+635 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.)
+1926 The smallest possible perimeter is 3.
Let's say that b is 1.
We would have
\(a < 1 \\ c > 1\)
where
\( a + c = 2 \\ a > .50 \\ c < 1.5 \)
An example would be
\(a = .75\\ b = 1\\ c =1.25\)
Thanks! :)
+1926 The smallest possible perimeter is 3.
Let's say that b is 1.
We would have
\(a < 1 \\ c > 1\)
where
\( a + c = 2 \\ a > .50 \\ c < 1.5 \)
An example would be
\(a = .75\\ b = 1\\ c =1.25\)
Thanks! :)
