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In AABC, G is the centroid and DC = 36.
Find DG and GC. Help me please!

In AABC, G is the centroid and DC = 36. Find DG and GC. Help me please!-example-1

1 Answer

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Answer:

DG = 12 , GC = 24

Explanation:

DC is a median of Δ ABC

on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GC = 2 DG , then

DG + GC = DC , that is

DG + 2 DG = 36

3 DG = 36 ( divide both sides by 3 )

DG = 12

thus

DG = 12 and GC = 2 × 12 = 24

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