Question

Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What is A F?

Answer 1

Answer:

51

Step-by-step explanation:

Answer 2

Because G is the centroid of the triangle, therefore AG = 2GF
That is, 5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51