## Almost Equilateral Triangles

#### Problem

We shall define an `almost equilateral triangles` to be a triangle for which two sides are equal and the third differs by no more than one unit. The smallest such triangle with integral length sides and area is 5-5-6.

Prove that infintitely many `almost equilateral triangles` with integral length sides and area exist.

Problem ID: 219 (30 Mar 2005) Difficulty: 4 Star