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G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.

G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.-example-1
User Igniteflow
by
8.8k points

1 Answer

3 votes

Answer:


BG = 38

Explanation:

Based on centroid theorem of triangles:


BG = (2)/(3) * BF


BF = 57

Plug in the value into the equation


BG = (2)/(3) * 57


BG = (2 * 57)/(3)


BG = (114)/(3)


BG = 38

User MarkusEgle
by
7.5k points
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