Math CentralQuandaries & Queries


Question from Bree, a student:

Triangles ABC and DEF are equilateral triangles with the same side length of 12cm. The polygon at the centre of the star is a regular hexagon. What is the area of the hexagon? Justify your response.

The triangles are in a shape of a six pointed star with the hexagon in the middle.

Hi Bree,

I would draw the diagonals of the hexagon.


The hexagon is then subdivided into 6 equilateral triangles and by the symmetry each of these triangles has side length 4 cm.

What is the area of an equilateral triangle with side length 4 cm?


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