Question

What is CD?

Point G is the centroid of triangle ABC. The length of
segment CG is 6 units greater than the length of segment
DG.
6 units
12 units
18 units
24 units

Answer 1

18

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.

✌

Answer 2

(C)18 units

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.