Question

what is the difference between centroid, orthocentre and circumcentre .............​

Answer 1

Answer:

The centroid is located 2/3 of the way from the vertex to the midpoint of the opposite side. The orthocenter (H) of a triangle is the point of intersection of the three altitudes of the triangle. ... The circumcenter (C) of a triangle is the point of intersection of the three perpendicular bisectors of the triangle.

Although all these are different points in the triangle, but in equilateral triangle, all these coincide.

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Answer 2

The centroid is always between the orthocenter and the circumcenter. The distance between the centroid and the orthocenter is always twice the distance between the centroid and the circumcenter. ... The orthocenter is always outside the triangle opposite the longest leg, on the same side as the largest angle.

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