Marion’s Theorem!


Transcript:

So, I learned something interesting today. I did not know this before. There is this thing called Marian's theorem in mathematics. So, here is what it says. You take any triangle ABC, and you trisect each of the vertices. So the angle A, you cut it into three equal parts. So that means there are two lines coming out of angle A. Similarly, angle B, you trisect it, and angle C, you trisect it. So these six lines that are coming out of the vertices—two from each vertices—these six lines form a hexagon inside the triangle.

Now, the theorem is that the area of that hexagon is exactly one-tenth the area of the original triangle ABC. This is pretty interesting. I did not know this.