+280 All the sides of a triangle are integers. If the perimeter of the triangle is $5,$ then how many different possible triangles are there? (Assume that the triangle is non-degenerate. Two triangles are considered the same if they are congruent.)
+1926 There's actually only one triangle that satisfies all the rules stated.
The only one that works is
2-2-1
Any other triangle would violate the triangle inequality theorems, therefore being invalid.
So 1 is our answer!
Thanks! :)
