Question

Given that K is the centroid of EFG find GE and GI

Answer 1

D) GE = 10 and GI = 12

Explanation:

Given: KI = 4 and GH = 5

K is the centroid of EFG

So

KI = 1/3 (GI)

GI = 3 (KI) = 3(4) = 12

Because K is the centroid of EFG so GH = HE = 5

GE = GH + HE

GE = 5 + 5

GE = 10

Answer

GE = 10 and GI = 12

Answer 2

D. GE = 10; GI = 12

Explanation:

Given that K is the centroid of EFG, then GH = HE = 5, so GE = GH + HE = 5 + 5 = 10

The 2/3 rule states that the centroid is 2/3 of the way from the vertex to the opposite midpoint. This means that GK is doubled than KI, then GK = 2*4 = 8, and GI = GK + KI = 8 + 4 = 12