Question

Pls help me answer thiss. I really really need help! thank u

Answer 1

see explanation

Explanation:

the centroid is where the medians intersect.

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

(3)

GF =
`(1)/(2)` CG =
`(1)/(2)` × 14 = 7

CF = CG + GF = 14 + 7 = 21

(4)

GD =
`(1)/(3)` AD =
`(1)/(3)` × 45 = 15

AG = 2 × GD = 2 × 15 = 30

(5)

GE = 2 × BG , that is

9x = 2(3x + 6) = 6x + 12 ( subtract 6x from both sides )

3x = 12 ( divide both sides by 3 )

x = 4