The city planner wants to put a flower bed at the centroid of the park.The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4). What are the coordinates of the flower bed?

Answer 1

this is not so simple

median line from (-3,4) has equation 1.5x+4y=11.5

median line from (1,1) has equation 3x+2y=5

it is the intersection of any two medjan lines in a triangle

that is centroid

I calculate x=-1/21

y=18/7