Answer:
( - 3, 4 )
Step-by-step explanation:
The centroid of a triangle is the intersection of the three medians of the triangle.
A ( - 6, 8 )
C ( 0, 3 )
Coordinates of the midpoint of AC are D( - 3, 5.5 )
Median BD is x = - 3
Coordinates of midpoint of BC are E( - 1.5, 2 )
[tex]m_{AE}[/tex] = - [tex]\frac{4}{3}[/tex]
Equation of median AE is y = - [tex]\frac{4}{3}[/tex] x
Solve system of equations:
y = - [tex]\frac{4}{3}[/tex] x and x = - 3
( - 3, 4 ) are coordinates of the centroid of the Δ ABC
