what is the difference between the circumcentre and centroid of a triangle?
Liya
2012-06-03 07:54:40 UTC
what is the difference between the circumcentre and centroid of a triangle?
Four answers:
βαяяϵdθ
2012-06-03 08:00:37 UTC
circumcenter = the point of concurrency or intersection of the three perpendicular bisectors of a given triangle.
centroid = the point of concurrency or intersection of the three medians of a given triangle
?
2016-07-14 04:01:03 UTC
The circumcentre is the place the perpendicular bisectors of the perimeters intersect. In other phrases, in triangle ABC, if D is the midpoint of BC, E is the midpoint of CA, and F is the midpoint of AB, then the road by means of D perpendicular to BC, the line through E perpendicular to CA, and the line through F perpendicular to AB intersect at O, the circumcentre of the triangle. It is also the core of the circle that circumscribes the triangle (i.E. The three vertices of the triangle are on the circle). The centroid is the place the medians intersect. With the same triangle as above, the traces ad, BE, and CF intersect at G, the centroid of the triangle. It is usually the middle of mass of the triangle, assuming the density of the triangle is steady.
anonymous
2012-06-03 07:58:32 UTC
The circumcentre is where the perpendicular bisectors of the sides intersect. In other words, in triangle ABC, if D is the midpoint of BC, E is the midpoint of CA, and F is the midpoint of AB, then the line through D perpendicular to BC, the line through E perpendicular to CA, and the line through F perpendicular to AB intersect at O, the circumcentre of the triangle. It is also the center of the circle that circumscribes the triangle (i.e. the three vertices of the triangle are on the circle).
The centroid is where the medians intersect. With the same triangle as above, the lines AD, BE, and CF intersect at G, the centroid of the triangle. It is also the center of mass of the triangle, assuming the density of the triangle is constant.
?
2012-06-03 08:05:33 UTC
Centroid is the point of intersection of medians of a triangle.
Medians are the line segments that joins the vertex of a triangle to the mid-point of the opposite side.
Circumcentre is the centre of the circumscribed circle in a triangle.
Circumscribed circle is the circle inside a polygon which passes through all the vertices of the polygon.