Respuesta :

Answer:

DJ = 48

Step-by-step explanation:

In triangle CDE, point J is the centroid.

Length of median DH = 72

By the property of the centroid of a triangle,

"Centroid of a triangle divides the medians in the ratio of 2 : 1"

By this property, length of DJ = [tex]\frac{2}{(2+1)}(DH)[/tex]

                                                 = [tex]\frac{2}{3}(72)[/tex]

                                                 = 48 units

Therefore, length of DJ = 48 units