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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

Practice Test

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Exercise 4 Page 467

The centroid is the point of concurrency of the medians of a triangle. Use the Concurrency of Medians Theorem.

FG = 18

The centroid is the point of concurrency of the medians of a triangle. In the given diagram, K is the centroid.

Using the Concurrency of Medians Theorem, we can write the following equation. FK = 2/3 FG We are given that FK= 12. By substituting it, we can find FG.

FK = 2/3 FG

FK= 12

12=2/3 FG

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Solve for FG

LHS * 3=RHS* 3

36 = 2 FG

.LHS /2.=.RHS /2.

18 =FG

Rearrange equation

FG=18