Question

point g is the centroid of triangle abc. the length of segment cg is 6 units greater than the length of segment dg.

what is cd?

6 units
12 units
18 units
24 units

Explanation:

Set up the centroid relationship

$$ CG = 2 \cdot DG $$

Express the given length relationship

$$ CG = DG + 6 $$

Solve for the segment lengths

$$
LATEXBLOCK0
$$

Answer:

• 6 units
• 12 units
• 18 units (Correct answer)
• 24 units