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##### Asked by: Scarlett Abels

science space and astronomy# How do you find the coordinates of a centroid?

**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 y

**coordinate**.

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), first**find** the midpoint of one of the sides.

**The steps to find the circumcenter of a triangle:**

- Find and Calculate the midpoint of given coordinates ormidpoints (AB, AC, BC)
- Calculate the slope of the particular line.
- By using the midpoint and the slope, find out the equation ofline (y-y1) = m (x-x1)
- 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[(x_{1}+x_{2}+x_{3}) / 3,(y_{1}+y_{2}+y_{3} ) / 3].

**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.