find the coordinates of the incentre and centroid of the triangle whose sides have the equation 3x -4y=0, 12y+5x=0, y-15=0.
also please tell me what is incentre, circumcentre, orthocentre and centroid in a triangle
Centroid of Triangle-
Incentre of Triangle-
Circum Centre of Triangle-
Orthocentre of Triangle-
We have to find the co-ordinates of the centroid and the incentre of the triangle which is formed by the 3 lines whose equations are-
3x-4y=0
12y+5x=0
y-15=0
Solve the 3 linear equation taking 2 at a time to get the co-ordinates of the vertices of the triangle as-
A(0,0) B(20,15) C(-36,15)
Now use distance formula to calculate the sides of the triangle as,
Thus centroid,
co-ordinates of incentre are-