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Students in this video, let's see how we can apply graphical division in the case of a regular hexagon.

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So over here I have a regular hexagon.

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Remember, a regular polygon is a polygon where all the sides are equal and all the internal angles

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are equal.

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All right.

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So over here, we have a regular hexagon.

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Now, that means all these sides are of equal area.

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Now you can see that you can divide this regular hexagon into six equilateral triangles.

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All right.

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So these are the six equilateral triangles over here.

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Right?

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And you can see that these lengths are also equal to this length, is equal to this length, is equal

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to be linked to.

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In this manner, you can divide a regular hexagon into six equilateral triangles.

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So we have six congruent equilateral triangles.

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All right.

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Now, let me make a copy of this over here.

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Now, I could divide this hexagon into 12 equal parts in this manner.

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All right, so over here, you have 12 equal triangles, so you have 12 congruent right angled triangles

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now saying the question, you want to find this area and you know the area of the hexagon, you just

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need to do one by 12 of the area of the hexagon to get, for example, this area.

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All right.

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Now, let's see one more way in which we can do this.

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Let me take this over here.

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All right.

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And let me have a copy of the hexagon over here.

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Now, you can see there are six equilateral triangles.

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I can split it like this also into 12 equal parts.

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So over here also, you have 12 congruent right angled triangles, you can see that these two are actually

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one and the same.

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It's just that the orientation is changed a little bit.