Question

Coordinates of incentre remain ssame for the traingle and the traingle formed by mid point of its sides

Answer 1

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Given the coordinates of the three vertices of a triangle ABC, 
the coordinates of the incenter O are

Ox=aAx+bBx+cCx/p

 

Oy=aAy+bBy+cCy/p

where:Ax and Ayare the x and y coordinates of the point A etc..a, b and care the side lengths opposite vertex A, B and Cpis perimeter of the triangle (a+b+c)


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