Respuesta :

Answer:

Step-by-step explanation:

G is the centeroid of the triangle. G splits AE in the ratio 2 : 1

AG : GE = 2 : 1

AG = 2x  and GE = x

2x = 20

x = 20/2

x = 10

GE = 10 ; AG = 20

AE = 20+10 = 30

CG : GD = 2:1

CG = 2x  and GD = x

2x = 10

x = 10/2

x = 5

GD = 5

BF = 30

BG : GF = 2 : 1

BG = 2x  ; GF = x

BF = 30

BG + GF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10