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X=0, y= 0 and x+y =2 make a right angle triangle of sides 1,1, root(2) with vertecies (1,0),(0,1),(0,0).
The orthocenter of right angled triangle is right angled vertex only = (0,0)
x cordinate of incenter is given by (ax1+bx2+cx3)/(a+b+c)=(1/(2+root(2)))
y cordinate of incenter is given by (ay1+by2+cy3)/(a+b+c)=(1/(2+root(2)))
Hence distance is root(2)/(2+root(2))=1/(root(2)+1)
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Moderation Team
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