Question

Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.

Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A F, B D, and C E. The length of line segment A G is 5 x + 4 and the length of line segment G F is 3 x + 1.

What is A F?

11 units
15 units
43 units
51 units

Answer 1

Based on the given diagram, the length of FA is 51 units

Find the diagram attached. From the diagram;

AG = 2GF

Given that:

AG = 5x + 4

GF = 3x - 1

Substitute the given parameters into the formula;

5x + 4 = 2(3x - 1)

5x + 4 = 6x - 2

5x - 6x = -2 - 4

-x = -6

x = 6

Get the FA = 5x + 4 + 3x - 1

Substitute the value of x into the expression:

FA = 8x + 3

FA = 8(6) + 3

FA = 48 + 3

FA = 51 units

Hence the length of FA is 51 units

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Answer 2

Answer:

51 units

Step-by-step explanation: took the test on ed and got it right