Answer:
IT = 13.5
Step-by-step explanation:
Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.
This means that:
ST = ⅔(IT)
ST = 9 (given)
Substitute
9 = ⅔(IT)
Multiply both sides by 3
3*9 = 2(IT)
27 = 2(IT)
Divide both sides by 2
27/2 = IT
IT = 13.5
