Question

What is the area of the image?
http://i.imgur.com/EjOrL7o.png

Answer 1

Make six equilateral triangles out of it

Answer 2

how?

Answer 3

http://footpathmath.files.wordpress.com/2011/06/hexagons3.png

Answer 4

So the area becomes 6 times the area of an equilateral triangle with side 6
6*sqrt(3)/4*6*6

Answer 5

You can also use the formula for the area of a regular hexagon of side L,
\[A=\frac{3\sqrt{3}}{2}L^2\]

Answer 6

can you show me the equation aviz

Answer 7

@aviz

Answer 8

http://doversherborn.comcastbiz.net/highschool/academics/math/baroody/GeometryHonors/Class%20Notes/Chapter%2011/Lesson11-5/EquilateralTriangleAreaDerivation3.gif

Answer 9

I have no clue what any of that means :(

Answer 10

The sides of an equilateral triangle form an angle of 60 degrees
See the image 's' is the value of a side
BD is a perpendicular
For an equilateral triangle the perpendicular divides the intersecting side into 2
So DC becomes s/2
Now we know sides BC and DC using Pythagoras we can find BD
because BC^2 = BD^2 + DC^2
so s^2 = BD^2 + (s/2)^2
BD (height) becomes sqrt(3)/2 *s
Area of triangle = 1/2 * b* h = 1/2* s* sqrt(3)/2 *s = sqrt(3)/4 * s^2

Answer 11

Thank you again <3!!!!! @aviz