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In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm

In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm-example-1

2 Answers

6 votes
DG = 10 cm
CG = 1/2(DG) = 5 cm

answer
5cm

4 votes
ANSWER


CG=5cm

Step-by-step explanation

In the given diagram, G is the point where all the three medians of the triangle meet.

We call this point of intersection of all the three medians the CENTROID of the triangle.

One property about the centroid is that, the centroid divides the medians in the ratio

2:1


The medians are the lines from the vertex to the midpoints of the opposite side of the triangle.

This implies that,


DG:CG=2:1


10:CG=2:1

We can rewrite this as,


(10)/( CG ) = (2)/(1)

We cross multiply to obtain,


10 * 1 = 2 * CG


\Rightarrow CG = (10)/(2)


\Rightarrow CG = 5

Therefore CG = 5cm
User Josh Pittman
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