Respuesta :

GE = 1/2 BG
GE = 1/2(24)
GE = 12

answer
12 mm

Answer

Find out the  length of segment GE .

To prove

As shown in the diagram given in the question

G is the centroid of the ΔABC .

By using the properties of the centroid.

The centroid divides each median in a ratio of 2:1.

Thus

[tex]GE = \frac{1\times BG}{2}[/tex]

As given

BG =24mm

Put in the above

[tex]GE = \frac{1\times 24}{2}[/tex]

            = 12 mm

Therefore the  length of segment GE is 12 mm .