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I would like to know if you have the direct formula to find the orthocentre, centroid, circumcentre, incentre.

I would like to know if you have the direct formula to find the orthocentre, centroid, circumcentre, incentre.

Grade:12

1 Answers

Sunil Raikwar
askIITians Faculty 45 Points
8 years ago
for orthocentre & circumcentre there is no direct formula but we can find them easily. Orthocentre intersection point of altitude so if you able to find the equation of altitude we can find orthocentre. circumcentre is always equidistant from vertices of triangle.
centroid [(x1+x2+x3)/3, (y1+y2+y3)/3] where(x1,y1), (x2,y2), (x3,y3) are the vertices of triangle
incentre [(ax1+bx2+cx3)/(a+b+c),(ay1+by2+cy3)/(a+b+c)] where a,b,c are the sides of triangle.

Thanks & Regards
Sunil Raikwar
askIITians Faculty

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