Fermat numbers and Fibonacci numbers on Heron triangles

Abstract

We mainly give necessary and sufficient conditions for being a Heron triangle in the case of certain classes of an isosceles triangles with the three sides (𝑎, 𝑎, 𝑐), where 𝑐 is an arbitrary positive integer, and 𝑎 is a Fermat or Fibonacci prime.

Keywords

• heron triangle
• fermat prime
• fibonacci prime
• primitive pythagorean triple
• triangle inequality