Just for fun read few problems on the projeteuler.net website.
Number 276 found interesting:
Consider the triangles with integer sides a, b and c with a ≤ b ≤ c. An integer sided triangle (a,b,c) is called primitive if gcd(a,b,c)=1. How many primitive integer sided triangles exist with a perimeter not exceeding 10 000 000?
Question:
Does the definition "triangle" in English also enforces the following condition?
a + b > c