Question

What is CD?

Answer 1

Answer:

18

Step-by-step explanation:

Line segment CG is amount to 12 and line segment GD is 6. The length of the whole line segment, CD is 18 by adding 12 and 6.

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Answer 2

Answer:

(C)18 units

Step-by-step explanation:

• Point G is the centroid of triangle ABC.
• C is a vertex of the triangle

• D is the midpoint of the side opposite the vertex.

From Centroid Theorems, we know that the distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex.

Therefore:

CG=2DG

Let the length of segment  DG =x

The length of  segment CG is 6 units greater, therefore: CG=x+6

Substituting into CG=2DG:

x+6=2x

2x-x=6

x=6 Units

Therefore:

CD=CG+GD

=6+6+6

=18 Units

The correct option is C.