Math CentralQuandaries & Queries


Question from Nazrul, a teacher:

The circumcentre, centroid and orthocentre of a triangle is
given. The distance between circumcentre and orthocentre is also
How can I draw the circle?
Please Help me.


In general you need three independent pieces of information to reproduce a triangle. You have been given only two: the centroid lies on the segment joining the orthocenter to the circumcenter, lying 2/3 of the way from the orthocenter to the circumcenter. You are free to choose a vertex of the triangle to lie almost anywhere in the plane.


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