Question #5c832
3 Answers
Explanation:
(PS, it's best to draw this octagon. The explanation will make much more sense).
Imagine a regular octagon
Now, on your octagon, draw the line
Since angle
Note that if you draw the line from
Finally, we can see that triangle
We know that
The sides are
Explanation:
The distance between two parallel sides of the octagon is given as
A regular octagon can be divided up into two isosceles trapeziums and a rectangle. Therefore the distance of
Height + height + side. (height being the distance between the parallel sides of the isosceles trapeziums.
As each angle of the octagon is
We therefore need to find the heights of two right-angled isosceles triangles.
With
Now make an equation from: height + height + side =
Explanation:
There is a really quick way of solving this.
So:
18tan(22.5)= half the length of octagon side: