A regular hexagon is composed of 12 congruent 30 -60 -90 triangles. If the length of the hypotenuse
of one of those triangles is 18 √3 , find the perimeter of the hexagon.

Question

A regular hexagon is composed of 12 congruent 30 -60 -90 triangles. If the length of the hypotenuse 
of one of those triangles is 18 √3 , find the perimeter of the hexagon.

anonymous · Answer

Help me!

mathmate · Answer

hint:
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anonymous · Answer

so, the hypotenuse is 18√3 and the two sides are 12 right?

anonymous · Answer

@mathmate so, the hypotenuse is 18√3 and the two sides are 12 right?

mathmate · Answer

@nutellalover
These triangles are 30-60-90, so the ratios of the sides are 2-1-sqrt(3).
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Use proportions to calculate the side lengths of the other sides, and hence the area of the hexagon.