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

Point G is the centroid of triangle ABC. AG = (5x+4) units and GF= (3x-1) units. What-example-1
User Joseph Idziorek
by
5.7k points

2 Answers

5 votes

Answer:

51

Explanation:

User Ringmaster
by
6.9k points
4 votes
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
User Heymatthew
by
6.1k points
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