Question

50 points! Find the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3). Random answers will be reported guys

Answer 1

( - 3, 4 )

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 )

`m_(AE)` = -
`(4)/(3)`

Equation of median AE is y = -
`(4)/(3)` x

Solve system of equations:

y = -
`(4)/(3)` x and x = - 3

( - 3, 4 ) are coordinates of the centroid of the Δ ABC

Answer 2

the coordinates of the centroid of the triangle with the vertices A(-6,8), B(-3,1),andC(0,3).

={(-6-3-0)/3,(8+1+3)/3}=(-3,4)