The triangle

The triangle is given by three vertices:
A [0.0]
B [-4.2]
C [-6.0]
Calculate V (intersection of heights), T (center of gravity), O - center of a circle circumscribed

Correct result:

x1 =  -3.3333
y1 =  0.6667
x2 =  -3
y2 =  -1

Solution:

A=(0,0) B=(4,2) C=(6,0)  T=(x1,y1)  x1=Ax+Bx+Cx3=0+(4)+(6)3=103=3.3333
y1=Ay+By+Cy3=0+2+03=23=0.6667
O(x2,y2)  D=2 (Ax (ByCy)+Bx (CyAy)+Cx (AyBy))=2 (0 (20)+(4) (00)+(6) (02))=24  x2=((Ax2+Ay2) (ByCy)+(Bx2+By2) (CyAy)+(Cx2+Cy2) (AyBy))/D=((02+02) (20)+((4)2+22) (00)+((6)2+02) (02))/24=3
y2=((Ax2+Ay2) (CxBx)+(Bx2+By2) (AxCx)+(Cx2+Cy2) (BxAx))/D=((02+02) ((6)(4))+((4)2+22) (0(6))+((6)2+02) ((4)0))/24=1



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