# 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

5 cm is the correct answer it would be half of DG

5 cm Step-by-step explanation: As we can see in the attached figure that G is the point at which the three medians of the triangle meet  i.e we called the centroid And, according to the property of the centroid, it divides the medians in ratio i.e 2:1 DG: CG = 2 : 1 Since the DG is 10 cm So, the CG would be half of DG i.e 5 cm Hence, the CG is 5 cm Therefore the first option is correct

5 cm is the correct answer it would be half of DG Step-by-step explanation:

5 cm is the correct answer Step-by-step explanation:

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 The medians are the lines from the vertex to the midpoints of the opposite side of the triangle. This implies that, We can rewrite this as, We cross multiply to obtain, Therefore CG = 5cm