Answer:
AE = 9 units
Step-by-step explanation:
Based on the centroid theorem:
AX = ⅔ of AE
Given that AX = 6 units, where X is the centroid of ∆ABC, therefore:
6 = ⅔ of AE
6 = ⅔(AE)
Multiply both sides by 3
6*3 = ⅔(AE)*3
18 = 2(AE)
Divide both sides by 2
18/2 = AE
9 = AE
AE = 9 units
