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Students in this video, let's discuss how to find the center of a triangle.

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Now, remember, the center is the meeting point of the angle by sectors of the triangle.

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All right.

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Now, over here I have a triangle, ABC and I know the partisans X1 why one x three?

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Why three and x2 y two?

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Now let the side opposite angle a bit of length units and similarly the side opposite angle B is of

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B units length and the side opposite Anglesey is of length C.

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Now if you know this then the incentive is given by the formula E x1.

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That is you need to multiply this with the coordinate that is of the vertex opposite side.

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So x1 plus B with the X coordinate of the vertex opposite B that's X three plus.

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You need to multiply C with x2.

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Right.

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That's like this over here and you need to divide it with A plus B plus and you need to do the same

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thing to find the Y coordinate of the incentive.

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So let's write that over here.

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The center would be X1 plus B X three plus C x2 divided by A plus B plus and the Y coordinate would

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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

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center if you know the vertices of the triangle.

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Now remember, if you just know that vertices of the triangle, you need to first find the sides also.

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And for that you need to find the distance between, for example, this vertex and this vertex.

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It will give you the value of it.

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If you find the distance between this vertex and this vertex, you will get the value of C.

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And similarly, the distance between this vertex and this vertex will give you the value of B over here.