data/problems/94.yml
---
:id: 94
:name: Almost equilateral triangles
:url: https://projecteuler.net/problem=94
:content: |+
It is easily proved that no equilateral triangle exists with integral length sides and integral area. However, the _almost equilateral triangle_ 5-5-6 has an area of 12 square units.
We shall define an _almost equilateral triangle_ to be a triangle for which two sides are equal and the third differs by no more than one unit.
Find the sum of the perimeters of all _almost equilateral triangles_ with integral side lengths and area and whose perimeters do not exceed one billion (1,000,000,000).