Question

Find the coordinates of the centroid given the vertices of triangle PQR.
P(-6,9), Q(6,1), R(-6,-7) Solution (-2,1)

Answer 1

the centroid of a triangle can be found using this formula: \((x,y)=(\dfrac{A_x+B_x+C_x}{3},\dfrac{A_y+B_y+C_y}{3})\) where \(P(-6,9)=(A_x,A_y)\)

Answer 2

basically, add up the x components and divide by 3
add the y's and divide by 3

Answer 3

I know that's one way of doing it but my teacher does it with a lot more steps!

Answer 4

@bibby She finds 2 midpoints. Then finds the slope and substitutes or eliminates

Answer 5

can you show me an example of how they do it? does it involve the distance formula

Answer 6

oh, gross

Answer 7

or something like that

Answer 8

yeaaa lol

Answer 9

can you give me a minute to google an example because that isn't really clear

Answer 10

should i draw out what I've done so far?

Answer 11

uh, that' works too

Answer 12

oh, so you find 2 midpoints
draw the 2 medians to those points
and then the point where they cross is the centroid