Question

What is the relation between orthocentre, circumcentre, and centroid?

Answer 1

Determine the relation between orthocentre, circumcentre and centroid.

• The orthocenter is the point where the three heights of a triangle coincide. Each perpendicular line drawn from one vertex to the opposite side is called a height.
• The centroid is the location where the three medians meet. Each straight line connecting the midpoint of one side to the opposing vertex is called a median.
• Each median is divided into two segments by the centroid, with the segment from the centroid to the vertex being twice the length of the line segment connecting the midpoint to the opposing side.
• The circumcenter is the place where the three perpendicular bisectors intersect. Each line drawn perpendicularly from a triangle's midpoint is called a perpendicular bisector. The centre is the circumcenter.