Asked by: Scarlett Abels
science space and astronomy

How do you find the coordinates of a centroid?

Last Updated: 27th April, 2020

10
The coordinates of the centroid are simplythe average of the coordinates of the vertices. So to findthe x coordinate of the orthocenter, add up the three vertexx coordinates and divide by three. Repeat for the ycoordinate.

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Also question is, how do you find the coordinates of the centroid of a triangle?

To find the centroid of a triangle, usethe formula from the preceding section that locates a pointtwo-thirds of the distance from the vertex to the midpoint of theopposite side. For example, to find the centroid of atriangle with vertices at (0,0), (12,0) and (3,9), firstfind the midpoint of one of the sides.

One may also ask, how do you find the coordinates of the Circumcenter? The steps to find the circumcenter of a triangle:

  1. Find and Calculate the midpoint of given coordinates ormidpoints (AB, AC, BC)
  2. Calculate the slope of the particular line.
  3. By using the midpoint and the slope, find out the equation ofline (y-y1) = m (x-x1)
  4. Find out the other line of equation in the similar manner.

Also to know is, what are the coordinates of the centroid of the triangle ABC?

A centroid divides the median in the ratio 2:1.'G' is the centroid such that AG/AD = 2/1. ∴Coordinates of the centroid G are[(x1+x2+x3) / 3,(y1+y2+y3 ) / 3].

What is the centroid formula?

Centroid of points, A, B and C is (x1+x2+x3)/3,(y1+y2+y3)/3. Centroid is a point where all the threemedians of the triangle intersect. So,the centroid oftriangle can be found by finding the average of the x-coordinate'svalue and the average of the y-coordinate's value of all thevertices of the triangle.

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