Students in this video, let's see how we can apply graphical division in the case of a regular hexagon.
So over here I have a regular hexagon.
Remember, a regular polygon is a polygon where all the sides are equal and all the internal angles
are equal.
All right.
So over here, we have a regular hexagon.
Now, that means all these sides are of equal area.
Now you can see that you can divide this regular hexagon into six equilateral triangles.
All right.
So these are the six equilateral triangles over here.
Right?
And you can see that these lengths are also equal to this length, is equal to this length, is equal
to be linked to.
In this manner, you can divide a regular hexagon into six equilateral triangles.
So we have six congruent equilateral triangles.
All right.
Now, let me make a copy of this over here.
Now, I could divide this hexagon into 12 equal parts in this manner.
All right, so over here, you have 12 equal triangles, so you have 12 congruent right angled triangles
now saying the question, you want to find this area and you know the area of the hexagon, you just
need to do one by 12 of the area of the hexagon to get, for example, this area.
All right.
Now, let's see one more way in which we can do this.
Let me take this over here.
All right.
And let me have a copy of the hexagon over here.
Now, you can see there are six equilateral triangles.
I can split it like this also into 12 equal parts.
So over here also, you have 12 congruent right angled triangles, you can see that these two are actually
one and the same.
It's just that the orientation is changed a little bit.