Question

What is the centroid of the triangle formed by the vertices A(a,b), B(c,d) and C(e,f)?

Answer 1

Answer:

The coordinates of the centeroid will be given by,

$( \frac{a + c + e}{ 3 } \frac{b + d + f}{3} )$

Step-by-step explanation:

The x coordinate of a centeroid of a triangle is given by the sum of the three x-coordinates of vertices the triangle divided by 3.

And it's y-coordinate is given by sum of y

-coordinates of the vertices over 3.

Using this relation,

x-coordinate of Centeroid of the given triangle:

$\frac{a + c + e}{3}$

and for y-coordinate,

$\frac{b + d + f}{3}$