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AE = 30

GD = 5

GF = 10

Step-by-step explanation:

Centroid of medians divide median in the ratio 2 : 1

Therefore,

AG : GE : 2 : 1

Let AG = 2x & GE = x

Since, AG = 20(given)

Therefore, 2x = 20

x = 20/2

x = 10

GE = x = 10

AE = AG + GE = 20 + 10 = 30

CG : GD : 2 : 1

Let CG = 2x & GD = x

Since, CG = 10(given)

Therefore, 2x = 10

x = 10/2

x = 5

Since, GD = x

Therefore, GD = 5

BF = 30

2x + x = 30

3x = 30

x = 30/3

x = 10

GF = 10

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step-by-step explanation: