Geometry help?

is there anything special about a triangle inscribed inside a hexagon, where the triangles hits the middle of 3 sides of the hexagon?
Picture below

if there is something, please explain why

Question

Geometry help?

is there anything special about a triangle inscribed inside a hexagon, where the triangles hits the middle of 3 sides of the hexagon?
Picture below

if there is something, please explain why

anonymous · Answer

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anonymous · Answer

http://answers.yahoo.com/question/index?qid=20100112134608AAHuqa1

anonymous · Answer

Well in that picture, if the hexagon is a regular hexagon, then the triangle would be equilateral

anonymous · Answer

ok lets assume it is a regular hexagon, how do you know its a equilateral triangle?

anonymous · Answer

Because first of all, to create a regular hexagon, I need to start with a regular (equilateral) triangle and "cut off" the vertices.  The result is a regular hexagon.

I guess by similarity with the original equilateral triangle, the inner triangle is 60-60-60
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anonymous · Answer

oh  i see thanks
just wondering do you know how to do it using complex numbers?