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| Math Central | Quandaries & Queries |
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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?
Penny
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