Question

in triangle def, dg = 10 cm. what is cg? 5 cm 10 cm 15 cm 20 cm

Explanation:

Step1: Identify Centroid Property

In a triangle, the centroid (G) divides each median into a ratio of 2:1, with the longer segment being closer to the vertex. Here, DG is part of median DF (assuming G is centroid), so DG:CG = 2:1.

Step2: Solve for CG

Given DG = 10 cm. Let CG = x. Then $\frac{DG}{CG}=\frac{2}{1}\implies\frac{10}{x}=\frac{2}{1}\implies 2x = 10\implies x = 5$.

Answer:

A. 5 cm