What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ?

Question

What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ?

1 Answer

Impact of this question

3436 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-16T06:23:18

$O (1, 3)$ $O(1,3)$

Explanation:

.

The centroid of a triangle is where the three medians of it intersect. The centroid divides each median into two segments that have a ratio of $2$ $2$ to $1$ $1$ .

The coordinates of the centroid $O$ $O$ can be calculated using the following formulas:

$O_{x} = \frac{A_{x} + B_{x} + C_{x}}{3}$ $O_x=(A_x+B_x+C_x)/3$ and

$O_{y} = \frac{A_{y} + B_{y} + C_{y}}{3}$ $O_y=(A_y+B_y+C_y)/3$

where $O_{x}$ $O_x$ and $O_{y}$ $O_y$ are the $x$ $x$ and $y$ $y$ coordinates of the centroid and $A_{x}$ $A_x$ and $A_{y}$ $A_y$ are $x$ $x$ and $y$ $y$ coordinates of the vertex $A$ $A$ , and so on.

$O_{x} = \frac{- 3 + 1 + 5}{3} = 1$ $O_x=(-3+1+5)/3=1$

$O_{y} = \frac{1 + 6 + 2}{3} = 3$ $O_y=(1+6+2)/3=3$

$O (1, 3)$ $O(1,3)$

Science

Math

Humanities

... and beyond

What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ?

1 Answer

Explanation:

Related questions

Impact of this question