Students in this video, let's discuss how to find the center of a triangle.
Now, remember, the center is the meeting point of the angle by sectors of the triangle.
All right.
Now, over here I have a triangle, ABC and I know the partisans X1 why one x three?
Why three and x2 y two?
Now let the side opposite angle a bit of length units and similarly the side opposite angle B is of
B units length and the side opposite Anglesey is of length C.
Now if you know this then the incentive is given by the formula E x1.
That is you need to multiply this with the coordinate that is of the vertex opposite side.
So x1 plus B with the X coordinate of the vertex opposite B that's X three plus.
You need to multiply C with x2.
Right.
That's like this over here and you need to divide it with A plus B plus and you need to do the same
thing to find the Y coordinate of the incentive.
So let's write that over here.
The center would be X1 plus B X three plus C x2 divided by A plus B plus and the Y coordinate would
be A Y one plus B Y three plus C y2 divided by A plus B plus C and that is how you can find the inner
center if you know the vertices of the triangle.
Now remember, if you just know that vertices of the triangle, you need to first find the sides also.
And for that you need to find the distance between, for example, this vertex and this vertex.
It will give you the value of it.
If you find the distance between this vertex and this vertex, you will get the value of C.
And similarly, the distance between this vertex and this vertex will give you the value of B over here.