Confused about theory, help please! My book asks for the coordinates of the circumcentre of a triangle, whose vertices are (4,6) (0,4) and (6,2)... The answer is (3,3). I know how to get the answer, However, shouldn't that be the centroid of the triangle? Because centroid is the center with respect to all the angular bisectors of a triangle and on the other hand cicrumcenter is supposed to be where the perpendicular bisectors of the sides meet? Kindly clear up the confusion as i don't feel settled about these paradoxical terms.

Question

kc_kennylau · Answer

Centroid is the center with respect to all the medians :)

ikram002p · Answer

|dw:1396003075725:dw|

anonymous · Answer

If that be the case, shouldnt it be (x1+x2+x3)/3 which is 10/3 and (y1+y2+y3)/3 which is 4?
So the answer i would get is (10/3,4) for the circumcenter, however, the answer is (3,3), which is basically finding out the Centroid instead. So i believe there is a problem in the question isnt there?

kc_kennylau · Answer

No, (10/3,4) is the centroid

ikram002p · Answer

|dw:1396003245147:dw|

ikram002p · Answer

so the  the circumcenter is the center of circle that all the edge of triangles lies on it

anonymous · Answer

Ooooh i see it now O:
Thanks a lot guys :D
Got the terms mixed up. my bad... sorry :P

kc_kennylau · Answer

no problem

ikram002p · Answer

centroid is this
|dw:1396003361409:dw|