answersLogoWhite

0

Assume regular hexagon of side L.

Split the hexagon into 6 equilateral triangles. (A sketch would help here)

You need to find the height of the triangle to find it's area.

Split the triangle in half with a vertical line.

You now have 2 right angle triangles of base L/2 height h. Top angle 30 degrees, bottom angle 60 degrees.

L/(2h) = tan 30

h = L/(2tan 30)

h = root 3 L/2

Area of 1 equilateral triangle = 1/2 x L x h

= (root 3 x L2)/4

Area of hexagon = 6x(root 3 x L2)/4

Area of hexagon = 3x(root 3 x L2)/2

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
EzraEzra
Faith is not about having all the answers, but learning to ask the right questions.
Chat with Ezra

Add your answer:

Earn +20 pts
Q: Can you prove that area formula of hexagon?
Write your answer...
Submit
Still have questions?
magnify glass
imp