MathDB

Hassan has a piece of paper in the shape of a hexagon. The interior angles are all

120^o

, and the side lengths are

1

2

3

4

5

6

, although not in that order. Initially, the paper is in the shape of an equilateral triangle, then Hassan has cut off three smaller equilateral triangle shapes, one at each corner of the paper. What is the minimum possible side length of the original triangle?

Problem Statement