Question

find the centroid of a triangle whose vertices are 3, - 7 and minus 8, 6 and 5, 10

Answer 1

Hi ,

Let A , B and C are three vertices of

the triangle

( x1 , y1 ) = A ( 3 , - 7 )

( x2 , y2 ) = B ( - 8 , 6 )

( x3 , y3 ) = C ( 5 , 10 )

Centroid ( G )

= ( x1+x2+x3/3 , y1+y2+y3/3 )

= ( 3-8+5/3 , -7+6+10/3 )

= ( 0 , 9/3 )

= ( 0 , 3 )

G = ( 0 , 3 )

I hope this helps you.

:)

Answer 2

Answer:

The coordinates of the centroid are (0,3).

Step-by-step explanation:

The vertices of a triangle are (3,-7), (-8,6) and (5,10).

The formula for centroid is

$centroid=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

$centroid=(\frac{3-8+5}{3},\frac{-7+6+10}{3})$

$centroid=(\frac{0}{3},\frac{9}{3})$

$centroid=(0,3)$

Therefore the coordinates of the centroid are (0,3).