1.

Find the coordinates of the incentre and centroid of the triangle whosesides have the equations `3x-4y=0,12 y+5x=0 and y-15=0.`

Answer» 3x=4y
3x=4*15
x=20
x=-36
A(0,0),B(20,15).C(-36,15)
Centroid`=((0+20+(-36))/3,(0+15+15)/3)`
`=(-16/3,10)`
`a=sqrt((20+36)^2+0^2)=sqrt((56)^2)=56`
`b=sqrt(36^2+15^2)=39`
`c=sqrt(20^2+15^2)=25`


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