Question

what is incentre,circumcentre,orthocentre and centroid

Answer 1

The orthocenter (H) of a triangle is the point of intersection of the three altitudes of the triangle. ... Thus, theincenter (I) is equidistant from all three sides of the triangle. Now, we will prove that the centroid (G), theorthocenter (H) and the circumcenter(C) are collinear and that HG is congruent to 2GC.

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Answer 2

incentre,
the centre of the incircle of a triangle or other geometrical figure
circumcentre,
the centre of a triangle's circumcircle
orthocentre,
the point where all the 3 altitudes of the triangle intersect
centroid,
the centre of mass of a geometrical object of uniform density