Find an example of an equilateral hexagon whose sides are all units long. Give coordinates for all six points.
( /2 , 3)
(2+ /2 , 0 )
( /2 , -3 )
(- /2 , 3)
(- /2, -3)
(-2- /2 , 0 )
Is my answer correct?
You need to mark off 60,120,180, 240,300,360 angles on your rad 13 radius. Draw the defining right triangle for each angle. Review the properties of 30-60-90 triangles. Proceed to id each angle x y coordinates
Find an example of a regular hexagon whose sides are all units long.
Give coordinates for all six vertices.
A regular hexagon is comprised of six equilateral triangles.Code:C B * - - - - - * / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ D * - - - - - * - - - - - * A \ /O\ / \ / \ / \ / \ / \ / \ / \ / \ / * - - - - - * E F
Each line segment has length
Let the center of the hexagon be at the Origin.
Then and are at: .
The -coordinate of is
The -coordinate of is the altitude of
. . which is: .
Then are at: .
That's the spirit!! There are other variations of solutions, as indicated by other posters, but find those that fit your style. Generally, you would want to stick with more general solution types unless you have a specific application that can be benefitted from a more specific solution.