Contruct a Hexagon given one side
How to construct a Hexagon given only one side to start with.
The Theory Behind How it Works
- The main principle we are going to use to complete this question is that a hexagon is made up of 6 equilateral triangles.
- Keeping that in mind we take the radius AB (the line we started with) and swing it from point A and from point B.
- Where the two arcs intersect will give us point G (the centre of the hexagon). Triangle AGB is an equilateral triangle since all sides are equal.
- Next we keep radius AB and swing a circle from point G. This circle is the circle we want to enclose our hexagon within.
- Now we swing radius AB from point A, to cut the circle, giving us point F. Move to point F and swing the same radius to create point E and so on until you have 6 points on the circle.
- Finally join up the 6 points to create a hexagon.